Question

Look at picture please help 32 points!!

Answer 1

Answer:

SA = 112 cm²

Steps:

to solve this problem we have to calculate the surface area of the whole block and let be SA

first the surface area of the square pyramid:

the area of one triangle = (height × base)/2

given:

height = 6 cm

base = 4 cm

A = (6×4)/2

A = 24/2

A = 12 cm²

since it's a square triangle

then the surface area of the pyramid excluding the base:

Ap = A × 4

Ap = 12 × 4

Ap = 48 cm²

now the inferior part which is a rectangular prisme

Ar = 4(height×lenght)+lenght²

Ar = 4(3×4)+4²

Ar = 4×12+16

Ar = 48+16

Ar = 64 cm²

and now we can calculate the surface area of the whole block

SA = Ap + Ar

SA = 48 + 64

SA = 112 cm²