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The area of a base of a box is 825 square centimeters. it has a height of 26 centimeters. what is the volume of the box.

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asked Mar 22, 2023 41.6k views

4 votes

The area of a base of a box is 825 square centimeters. it has a height of 26 centimeters. what is the volume of the box.

Mathematics
college

DiaMaBo asked

by DiaMaBo

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1 Answer

2 votes

Answer : 7150 cm^3

$\begin{gathered} \text{Volume of a square base prism = A x }(h)/(3) \\ \text{Area = 825 cm}^2 \\ h\text{ = 26cm} \\ V\text{ = 825 x }(26)/(3) \\ V\text{= 825 x 8.6666} \\ V=^{}7150\operatorname{cm}3^{} \end{gathered}$

Height = 26cm

Area = l x l

Since area = 825

$\begin{gathered} \text{Area = l x l} \\ \text{Area = l}^2 \\ 825=l^2 \\ \text{Take the square root of both sides} \\ l\text{ = }\sqrt[]{825} \\ l\text{ = 28.72cm} \end{gathered}$

Ahmed Damasy answered Mar 26, 2023