Question

find the volume of each figure. round your answers to the nearest whole, if necessary. 21) a) 83 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 rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Solve problem 21

Since the figure in problem 21 is not clear enough to identify its dimensions precisely, we assume it's a rectangular - prism. But without proper values, we can't calculate. Let's move to problem 22.

Step3: Solve problem 22

For the rectangular - prism in problem 22 with $l = 4$ yd, $w = 2$ yd, and $h = 3$ yd, we use the formula $V=l\times w\times h$.
$V=4\times2\times3=24$ yd³. So the answer for 22 is A. 24 yd³.

Step4: Solve problem 23

For the rectangular - prism in problem 23 with $l = 5$ ft, $w = 2$ ft, and $h = 2$ ft, using the formula $V=l\times w\times h$, we have $V = 5\times2\times2=20$ ft³. So the answer for 23 is A. 20 ft³.

Step5: Solve problem 24

For the rectangular - prism in problem 24 with $l = 8$ m, $w = 8$ m, and $h = 6$ m, using the formula $V=l\times w\times h$, we get $V=8\times8\times6 = 384$ m³. So the answer for 24 is D. 384 m³.

Answer:

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