Question

The answer and step by step explanation of exercise B please.

Answer 1

Given in the question:

a.) Volume of box = 120 cm³

b.) Length = l = 3 cm

c.) Height = h = 5 cm

In finding the measurement of the width (w) of the box, let's first recall the formula in finding its volume and reconstruct it into an equation in terms of width.

`\text{Volume = l x w x h}`

Step 1: Reconstruct the volume formula in terms of width.

`\text{Volume = l x w x h}`
`\frac{\text{Volume}}{l\text{ x h}}\text{ = w }\rightarrow\text{ w = }\frac{\text{Volume}}{l\text{ x h}}`

Step 2: Substitute the given values (volume, height, and length) in the formula to get the measurement of the width.

`\text{w = }\frac{\text{Volume}}{l\text{ x h}}`
`\text{w = }\frac{120cm^3}{(3\text{ cm)(5 cm)}}`
`\text{w = }(120cm^3)/(15cm^2)\text{ = }(120)/(15)cm^(3-2)`
`\text{w = 8 }cm^1\text{ = 8 cm}`

Therefore, the measurement of the width of the box is 8 cm.