Surface Area of Irregular Shapes Volume of Irregular Shapes Eleanor M. Savko 4/26/2017 Surface Area of Irregular Shapes Volume of Irregular Shapes Surface Area of Prisms Volume of Prisms Mixed Bag 1 pt 1 pt 1 pt 1 pt 1 pt 2 pt 2 pt 2 pt 2 pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4 pt 4 pt 4 pt 5 pt 5 pt 5 pt 5 pt 5 pt

What is the surface area of this shape? Eleanor M. Savko 4/26/2017 1 pt What is the surface area of this shape?

The surface area of this shape is Eleanor M. Savko 4/26/2017 1 pt The surface area of this shape is 8 green squares + 10 red squares = 18 square units

What is the surface area of this shape? Eleanor M. Savko 4/26/2017 2 pt What is the surface area of this shape?

The surface area of this shape is Eleanor M. Savko 4/26/2017 2 pt The surface area of this shape is 12 purple squares + 14 blue squares = 26 square units

What is the surface area of this shape? Eleanor M. Savko 4/26/2017 3 pt What is the surface area of this shape?

The surface area of this shape is Eleanor M. Savko 4/26/2017 3 pt The surface area of this shape is 6 green squares + 16 red squares = 22 square units

What is the surface area of this shape? Eleanor M. Savko 4/26/2017 4 pt What is the surface area of this shape?

The surface area of this shape is Eleanor M. Savko 4/26/2017 4 pt The surface area of this shape is 20 red squares + 28 yellow squares = 48 square units

What is the surface area of this shape? Eleanor M. Savko 4/26/2017 5 pt What is the surface area of this shape?

The surface area of this shape is Eleanor M. Savko 4/26/2017 5 pt The surface area of this shape is 4 purple squares 8 blue squares 12 red squares 18 green squares (Counting the green ones on the bottom) = 42 square units

What is the volume of the shape below? Eleanor M. Savko 4/26/2017 1 pt 1 pt What is the volume of the shape below?

1 pt 1 pt 1 cubes on 1st level 1 cubes on 1st level Eleanor M. Savko 4/26/2017 1 pt 1 pt 1 cubes on 1st level 1 cubes on 1st level 3 cubes on 1st level 6 cubes on 1st level The total volume is 11 cubic units.

What is the volume of the shape below? Eleanor M. Savko 4/26/2017 2 pt What is the volume of the shape below?

The volume of the shape below is 13 units3. Eleanor M. Savko 4/26/2017 2 pt The volume of the shape below is 13 units3. 1 blue cube 4 red cubes 8 green cubes

What is the volume of the shape below? Eleanor M. Savko 4/26/2017 3 pt What is the volume of the shape below?

3 pt Volume = 35 cubic units Top level = 1 cube Middle level = 9 cubes Eleanor M. Savko 4/26/2017 3 pt Volume = 35 cubic units Top level = 1 cube Middle level = 9 cubes Bottom level = 25 cubes

Eleanor M. Savko 4/26/2017 4 pt What would be the volume of the shape below if it was totally filled in with cubes?

The volume is 140 cubic units. Eleanor M. Savko 4/26/2017 4 pt The volume is 140 cubic units. 5 x 7 x 4 = 140 cubes 4 cubes 7 cubes 5 cubes

What is the total volume of the figure? Eleanor M. Savko 4/26/2017 5 pt What is the total volume of the figure?

Total Volume = 72 cubic units Eleanor M. Savko 4/26/2017 5 pt 16 cubes 16 cubes Total Volume = 72 cubic units 16 cubes 24 cubes

What are the dimensions of this rectangular prism? Eleanor M. Savko 4/26/2017 1 pt What are the dimensions of this rectangular prism?

1 x 2 x 4 (in any order) 1 pt 1 unit 4 units 2 units Eleanor M. Savko 4/26/2017 1 pt 4 units 2 units 1 unit 1 x 2 x 4 (in any order)

What is the surface area of this rectangular prism? Eleanor M. Savko 4/26/2017 2 pt What is the surface area of this rectangular prism?

The surface area is 62 square units Eleanor M. Savko 4/26/2017 2 pt 10 green squares 15 red squares 6 yellow squares But remember there are 2 of each of these faces, so multiply the sum by 2. (10 + 15 + 6) x 2 = 62 The surface area is 62 square units

Hint: can you draw the finished prism? Eleanor M. Savko 4/26/2017 3 pt What is the surface area of this shape if it is completely filled with cubes? Hint: can you draw the finished prism?

3 pt finished (28 + 32 + 56) x 2 = 232 units2 Eleanor M. Savko 4/26/2017 3 pt finished The surface area of the yellow face is 28 units2 . The surface area of the purple face is 32 units2 . The surface area of the red face is 56 units2 . The total surface area is : (28 + 32 + 56) x 2 = 232 units2

What is the surface area of the triangular prism? Eleanor M. Savko 4/26/2017 4 pt What is the surface area of the triangular prism?

Eleanor M. Savko 4/26/2017 4 pt The surface area of the triangular prism is the total areas of all the faces. 70 cm2 60 cm2 50 cm2 12 cm2 Total surface area = 204 cm2

What is the surface area of the rectangular prism? Eleanor M. Savko 4/26/2017 5 pt What is the surface area of the rectangular prism? 13 cm 25 cm 21 cm

The surface area of the rectangular prism is 2246 cm2 Eleanor M. Savko 4/26/2017 5 pt 13 x 21 = 273 25 x 21 = 525 13 x 25 = 325 273 + 273 + 525 + 525 + 325 + 325 (273 + 525 + 325) x 2 = The surface area of the rectangular prism is 2246 cm2

How would you label an answer for a volume problem? Eleanor M. Savko 4/26/2017 How would you label an answer for a volume problem? A. units B. square units C. cubic units

How would you label an answer for a volume problem? Eleanor M. Savko 4/26/2017 How would you label an answer for a volume problem? A. units B. square units C. cubic units

Eleanor M. Savko 4/26/2017 2 pt What would the volume of the prism be, if it was completely filled with cubes?

The prism contains 120 cubes. Eleanor M. Savko 4/26/2017 2 pt 4 rows of 6 5 levels of 24 = 120 cubes The prism contains 120 cubes.

Eleanor M. Savko 4/26/2017 3 pt If the rectangle below was filled with cubes 7 levels high, what would be the total volume? 11 cm 5 cm

Eleanor M. Savko 4/26/2017 3 pt The prism would contain 385 cm3? 55 cubes on the bottom level, and 7 levels of 55 = 385 cubes. 7 cm 11 cm 5 cm

What is the volume of this prism? Eleanor M. Savko 4/26/2017 4 pt What is the volume of this prism? 100 cm 73 cm 15 cm

100 cm 73 cm 15 cm 4 pt The volume is 109,500 cm3. Eleanor M. Savko 4/26/2017 4 pt 100 cm 15 x 73 = 1095 cubes on the bottom level. 100 levels of 1095 = 109,500 cm3 . 73 cm 15 cm The volume is 109,500 cm3.

Eleanor M. Savko 4/26/2017 5 pt Create a 3-D shape that has a volume of 8 cm3 and a surface area of 24 cm2. What does this shape look like?

Eleanor M. Savko 4/26/2017 5 pt This 3-D shape has a volume of 8 cm3 and 24 cm2. The dimensions of this prism are : 2 x 2 x 2.

Which of these flat patterns will not completely cover a unit cube (A unit cube is one single cube)? Eleanor M. Savko 4/26/2017 1 pt

These 4 shapes will not cover a unit cube. Eleanor M. Savko 4/26/2017 1 pt These 4 shapes will not cover a unit cube.

Eleanor M. Savko What are the dimensions of the resulting prism after folding the flat pattern into a prism? 4/26/2017 2 pt

4 x 3 x 3 are the dimensions (in any order) Eleanor M. Savko 4/26/2017 2 pt 3 units 3 units 4 units 4 x 3 x 3 are the dimensions (in any order)

Find the volume and surface area for this cylinder. Eleanor M. Savko 4/26/2017 3 pt 7 cm Find the volume and surface area for this cylinder. 10 cm

Eleanor M. Savko 4/26/2017 3 pt 7 cm V = B x h =πr2h 3.14 x 3.52 x 10 384.65 cm3 S.A. = 2πr2 + hπd 2(3.14)(3.52) + (10)(3.14)(14) 76.93 + 439.6 516.53 cm2 10 cm

When put together, what is the volume of this figure? Eleanor M. Savko 4/26/2017 4 pt When put together, what is the volume of this figure?

4 pt 12 units3 12 units3 52 units3 12 units3 16 units3 Eleanor M. Savko 4/26/2017 4 pt 12 units3 12 units3 52 units3 12 units3 16 units3

Give the list of boxes that have a volume of 40 cubic units. Eleanor M. Savko 4/26/2017 5 pt Give the list of boxes that have a volume of 40 cubic units. (hint: there are 6 possibilities)

5 pt The following boxes all have a volume Eleanor M. Savko 4/26/2017 5 pt The following boxes all have a volume of 40 cubic units. Notice that all the dimensions are FACTORS of 40 and when you multiply the dimensions you always get an answer of 40. 1 x 1 x 40 1 x 2 x 20 1 x 4 x 10 1 x 5 x 8 2 x 2 x 10 2 x 4 x 5