Find the volume of the box by determining Example 1 Find the Volume of a Rectangular Prism Find the volume of the box by determining how many unit cubes fit in the box. SOLUTION The base is 5 units by 3 units. So, 3 · 5, or 15 unit cubes are needed to cover the base layer. There are 4 layers. Each layer has 15 cubes. So, the total number of cubes is 4 · 15, or 60. ANSWER The volume of the box is 60 cubic units. 1
Find the volume of the prism. Example 2 Find the Volume of a Prism Find the volume of the prism. a. b. SOLUTION a. V = Bh Write the formula for volume of a prism. = (7 · 4) · 5 Area of rectangular base = l · w = 7 · 4. = 140 Simplify. ANSWER The volume is 140 cubic inches. 2
Write the formula for volume of a prism. Area of triangular base = Example 2 Find the Volume of a Prism b. V = Bh Write the formula for volume of a prism. Area of triangular base = 1 2 – · 8 · 6. = · 8 · 6 · 3 = 72 Simplify. ANSWER The volume is 72 cubic feet. 3
Find the volume of the prism. Checkpoint Find Volume of Prisms Find the volume of the prism. 1. ANSWER 216 ft3 2. ANSWER 125 cm3 3. ANSWER 245 in.3