Surface Area and Volume Answers to CH. 11 Exam

Find the volume To find the volume, first figure out the shapes involved

Find the volume

Find the surface area Figure out the parts of the shapes involved then add them together.

Find the surface area To find surface area, you do not include the circles, just the outside of the composite shape.

Find the volume To find the volume, form break the composite figure into three prisms and add together

Find the volume

Find the surface area To find the surface area of the figure you have to break the composite figure into rectangles and add their areas together

Find the surface area Find the surface area back 4 12 bottom 4 10 front side top

Find the volume To find the volume of the figure you have to break apart the composite figure

Find the volume Half cylinder with radius 3.5 Rectangular prism

Find the surface area To find the surface area of the figure you have to break apart the composite figure

Find the surface area Half cylinder with radius 3.5 Rectangular prism without the top or the side

Use algebra to express volume To solve algebraically, first identify the shapes and the dimensions given.

Use algebra to express volume

First use the Pythagorean Theorem to find the missing side of the triangle

Find the volume

Find the total surface area of the solid of revolution found by rotating the triangle about the vertical line

What does the solid look like? 15 8 Now that we know what the solid looks like, we realize that the surface area is what is covered by the green.

What is the surface area covered by green?

First find the ratio of the solids. Set up your proportion and solve

Bathman just discovered that the valve on his cement truck (why he has a cement truck I don’t know), failed during the night and that all the contents ran out to form a giant cone of hardened cement. To make an insurance claim, Bathman needs to figure out how much cement is in the cone. The circumference of its base is 44 feet and it is 5 feet high. Calculate the volume.

Now that you have r, plug in an solve

The solid below is a peg with a square hole. Find its surface area.

In order to find the surface area we will have to: Find the lateral area of the cylinder Find the area of the circle minus the square for the top and bottom Find the lateral area of the square peg

In order to find the surface area we will have to: Find the lateral area of the cylinder

Next, we will have to: Find the area of the circle minus the square for the top and bottom

Next we will have to: Find the lateral area of the square peg

Now we put them all together + +

Find the lateral area

A water bottle in the shape of a cylinder has a volume of 500 cubic centimeters. The diameter of a base is 7.5 cm. What is the approximate height of the bottle?

Find the volume