Question

The solids are similar. Find the surface area S of the red solid.

Answer 1

Surface area of the red prism is 1344 m².

Explanation:

Ratio of the sides of the rectangular prisms given in the picture

=
`\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}`

=
`(6)/(3)`

=
`(2)/(1)`

Ratio of the surface area of both the solids = (Ratio of the sides)²

`\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}` =
`((2)/(1))^(2)`

`(x)/(336)=(4)/(1)`

x = 4 × 336

x = 1344 square meter

Therefore, surface area of the red prism will be 1344 m².