Question

Compare the dimensions of the prisms. How many times greater is the surface area of the red prism than the surface area of the blue prism?

4 m
3m
2m
12 m
The dimensions of the red prism are
The surface area of the red prism is
9 m
6 m
times the dimensions of the blue prism.
times the surface area of the blue prism.

Answer 1

3, 9

Explanation:

Surface A = 2(wl + hl + hw)

Where in the red prism, l is 12, w is 6, h is 9 and in the red prism l is 4, w is 2, h is 3

Lenght 12/4 =3

Width 6/2 =3

Height 9/3 =3

Calculate surface are of red prism

SA = 2( 6x12 + 9x12 + 9x6)

SA = 2( 72 +108+54)

SA = 2(234) = 468 m²

Calculate surface area of blue prism

SA = 2(2x4 + 3x4 + 3x2)

SA = 2(8 +12+6)

SA = 2(26)

SA =52

Area of red /area of blue = 468/52

Ans =9