Question

A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x

Answer 1

We need to recall the following formula for the volume of a cuboid.

Volume of cuboid $=Length*Width*Height$

This problem is about the volume of a cuboid.

Given:

Height of box $=4$ cm

Width $=$ Length $=x$ cm

Volume of box $=289 cm^{3}$

From the formula of the volume of a cuboid, we get

$x*x*4=289$

$x^{2}*4=289$

$x^{2} =\frac{289}{4}$

Take square root on both sides.

$x =\sqrt{ \frac{289}{4}}$

$x =\frac{17}{2}$

$x=8.5$ cm

Hence, the value of $x$ is $8.5$ cm.

Answer 2

A cuboid is a 3D shape that has six faces, twelve edges and eight vertices. Each of its faces is a rectangle. A cuboid is also a prism, as it has the same cross-section all the way through.

Given: Volume $=289cm^3$

height $=4cm$

Find: Find  the length and breadth base

According to the question

Volume of cuboid $=l\times b\times h$

$289=x\times x\times 4$

$\frac{289}{4}=x^2$

$x=\sqrt{\frac{289}{4} }$

$x=\frac{17}{2}$

$x=8.5cm$

The value of $x$ is $8.5 cm$.