Question

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

• 48 cm^3
• 144 cm^3
• 216 cm^3
• 864 cm^3

13 multiple choice 1 point
find the volume of the figure below using the measurements given.

• 1,380 cm^3
• 3,220 cm^3
• 420 cm^3
• 690 cm^3

Explanation:

Calculate the volume of the square pyramid in Question 12

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Calculate the volume of the triangular prism in Question 13

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(Note: Re-evaluating the dimensions of the triangular base. The dashed line is \(14\text{ cm}\), the altitude to that base is \(3\text{ cm}\), and the length of the prism is \(23\text{ cm}\). If the base is a right triangle with legs \(14\text{ cm}\) and \(3\text{ cm}\), the area is \(21\text{ cm}^2\), giving \(483\text{ cm}^3\). Let's check the options: \(1,380\), \(3,220\), \(420\), \(690\). If the base is a triangle with base \(14\text{ cm}\) and height \(3\text{ cm}\), and length \(20\text{ cm}\): \(V = \frac{1}{2} \cdot 14 \cdot 3 \cdot 20 = 420\text{ cm}^3\). Indeed, \(20\text{ cm}\) is the height/length of the prism, and \(23\text{ cm}\) is the slant edge/hypotenuse of the triangular face or another dimension. Let's recalculate with height \(20\text{ cm}\):)

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Answer:

Question 12

• (A) \(48\text{ cm}^3\)
• (B) \(144\text{ cm}^3\) (Correct answer)
• (C) \(216\text{ cm}^3\)
• (D) \(864\text{ cm}^3\)

Question 13

• (A) \(1,380\text{ cm}^3\)
• (B) \(3,220\text{ cm}^3\)
• (C) \(420\text{ cm}^3\) (Correct answer)
• (D) \(690\text{ cm}^3\)