Question

find the volume of the prism using the given measurements.

image of a rectangular prism with height 3 in, length 10 in, and width 2 in

• 130 in^3
• 60 in^3
• 26 in^3
• 36 in^3

2 multiple choice 1 point
find the volume for the pyramid below using the measurements given. round your answer to the nearest whole number.

image of a square pyramid with height 18 m and base edge 21 m

• 6,804 m^3
• 2,268 m^3
• 7,938 m^3
• 2,646 m^3

Explanation:

Calculate the volume of the rectangular prism

$$ V_{\text{prism}} = l \times w \times h = 10\text{ in} \times 2\text{ in} \times 3\text{ in} = 60\text{ in}^3 $$

Calculate the volume of the square pyramid

$$ V_{\text{pyramid}} = \frac{1}{3} \times B \times h = \frac{1}{3} \times (21\text{ m} \times 21\text{ m}) \times 18\text{ m} $$

$$ V_{\text{pyramid}} = \frac{1}{3} \times 441 \times 18 = 441 \times 6 = 2646\text{ m}^3 $$

Answer:

Question 1

• (A) \(130\text{ in}^3\)
• (B) \(60\text{ in}^3\) (Correct answer)
• (C) \(26\text{ in}^3\)
• (D) \(36\text{ in}^3\)

Question 2

• (A) \(6,804\text{ m}^3\)
• (B) \(2,268\text{ m}^3\)
• (C) \(7,938\text{ m}^3\)
• (D) \(2,646\text{ m}^3\) (Correct answer)