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Mathematics
02.04.2020 08:28
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A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of

A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the prism? A. 10 1 2 10 1 2 ft3 B. 27 27 ft3 C. 54 54 ft3 D. 121 1 2 121 1 2 ft3
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chippedwood24
chippedwood24
4,6(2 marks)

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

\text{Area of base}=\text{Area of square}=\text{Side length}^2

\text{Area of base}=(4\frac{1}{2})^2

\text{Area of base}=(\frac{9}{2})^2

\text{Area of base}=\frac{9^2}{2^2}

\text{Area of base}=\frac{81}{4}

\text{Volume of prism}=\frac{81}{4}\times 6

\text{Volume of prism}=\frac{81}{2}\times 3

\text{Volume of prism}=\frac{243}{2}

\text{Volume of prism}=121\frac{1}{2}

Therefore, the volume of prism is 121\frac{1}{2}\text{ ft}^3 and option D is the correct choice.

dwighthibbert56
dwighthibbert56
4,6(35 marks)

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Step-by-step explanation: hsax

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