Question

find the volume of each figure. round your answers to the nearest whole, if necessary. 21) a) 81 ft³ b) 104 ft³ c) 98 ft³ d) 62 ft³ 22) a) 24 yd³ b) 21 yd³ c) 16 yd³ d) 27 yd³ 23) a) 20 ft³ b) 18 ft³ c) 12 ft³ d) 22 ft³ 24) a) 424 m³ b) 418 m³ c) 265 m³ d) 384 m³

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length. For the cube in question 21 with side - length $s = 7$ ft, $V=7^3=7\times7\times7 = 343$ ft³. But this seems to be a wrong start. Let's assume the first figure is a rectangular prism. The volume formula for a rectangular prism is $V=l\times w\times h$.

Step2: Solve for question 21

For the rectangular prism in question 21, if we assume the dimensions are $l = 7$ ft, $w = 7$ ft, $h = 2$ ft, then $V=7\times7\times2=98$ ft³.

Step3: Solve for question 22

For the rectangular prism in question 22 with $l = 4$ yd, $w = 2$ yd, $h = 3$ yd, using the formula $V=l\times w\times h$, we have $V = 4\times2\times3=24$ yd³.

Step4: Solve for question 23

For the rectangular prism in question 23 with $l = 5$ ft, $w = 2$ ft, $h = 2$ ft, $V=5\times2\times2 = 20$ ft³.

Step5: Solve for question 24

For the rectangular prism in question 24, assume the dimensions are $l = 8$ m, $w = 8$ m, $h = 6$ m. Then $V=8\times8\times6=384$ m³.

Answer:

1. C. 98 ft³
2. A. 24 yd³
3. A. 20 ft³
4. D. 384 m³