Question

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.

Answer 1

Answer : 7150 cm^3

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

Height = 26cm

Area = l x l

Since area = 825

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