8. The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need? Show ALL steps to find the
amount of paper. Do not use units in your answer. Enter the number only.
7 cm
5 cm
<
6 cm
6 cm
(The figure is not to scale)
Amount of paper:

Amount of paper need = 140 cm²

Step-by-step explanation:

Given:

Length of rectangular prism = 5 cm

Width of rectangular prism = 5 cm

Height of rectangular prism = 4 cm

Base of triangular side = 5cm

Height of triangular side = 6 cm

Find:

Amount of paper need

Computation:

Amount of paper need = Curved surface area of rectangular prism +  Curved surface area of square pyramid

Amount of paper need = 2h(l + b) + 4[Area of triangle]

Amount of paper need = 2h(l + b) + 4[(1/2)(b)(h)]

Amount of paper need = (2)(4)(5 + 5) + 2[(5)(6)]

Amount of paper need = (8)(10) + 2[30]

Amount of paper need = 80 + 60

Amount of paper need = 140 cm²