Question

Vincent put logs in the shape of a rectangular prism outside his house. However, it is supposed to snow, and Vincent wants to buy a cover so the logs stay dry. If the pile of logs creates a rectangular prism with these measurements:

33 cm long, 12 cm wide, and 48 cm high,
what is the minimum amount of material needed to cover the pile of logs?

Answer 1

4716 cm^2

Explanation:

Answer 2

5112
`cm^(2)` of material

Explanation:

Piece of cake!

A rectangular prism has 6 sides, the same as a dice: a top, a bottom, and four sides.

Two are width by lenght,

Two are width by height, and the other

two are height by width

So we can write:

2(W*L)=2(12*33)=792
`cm^(2)`

plus

2(W*H)=2(12*48)=1152
`cm^(2)`

plus

2(H*W)=2(48x33)=3168
`cm^(2)`

792+1152+3168= 5112
`cm^(2)`

The minimum amount of material needed to cover the pile of logs is 5112
`cm^(2)`