Question

label the dimensions of each rectangular prism. then use the volume formula to calculate the volume of each prism, v = b × h

1. v = __ × __

v = ____ cubic units

1. v = __ × __

v = ____ cubic units

1. use the two volume formulas, v = l × w × h and v = b × h, to write multiplication equations for the volume of the rectangular prism.

v = __ × × __
v = __ × __

1. calculate the volume of a video game console with the dimensions 9 inches by 11 inches by 3 inches.

v = __ in. × in. × __ in.
v = ____ cubic in.

1. a window air - conditioner can cool a space of up to 50 cubic meters. the floor of a room has an area of 16 square meters, and the height of the walls is 3 meters. will the air - conditioner be able to cool the room? explain.

math @ home activity
use a ruler or tape measure to measure the dimensions of boxes. have your child use the volume formula v = l × w × h to find the volume of each box.
student practice book

Explanation:

Step1: Recall volume formula

For a rectangular - prism, $V = l\times w\times h$ or $V = B\times h$ (where $B$ is the base - area).

Step2: Solve problem 6

$V=9\times11\times3 = 297$ cubic inches.

Step3: Solve problem 7

Find room volume: $V = B\times h=16\times3 = 48$ cubic meters. Since $48<50$, the air - conditioner can cool the room.

Answer:

1. $V = 9$ in. $\times11$ in. $\times3$ in., $V = 297$ cubic in.
2. Yes, because room volume is 48 cubic meters which is less than 50 cubic meters.