Question

Please help me with this question

step by step explanantion

Answer 1

Answer: 148cm²

Explanation:

The volume of the cuboid is the length, height, and width multiplied together. Since the problem gives us the volume, we can set an equation.

`l*w*h=120 cm^3`

Since the area of the base of 30cm², we can get another equation.

`l*w=30cm^2`

We can plug in our equations.

`30cm^2*h=120cm^3` [divide both sides by 30cm²]

`h=4cm`

Now, we know the height of the cuboid.

Since we aren't given a specific length and width, it can be any of the combinations that give 30 cm² when multiplied.

We can have 1,30 or 2,15 or 3,10 or 5,6.

I will work out 5,6 with l=5 and w=6.

The surface area of a cuboid is
`2(lw+wh+lh)`.

`2(30+24+20)=2(74)=148cm^2`

This is one possible answer. There are multiple ones with the pair choices above.