Question

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? Use a pencil and paper to explain your reasoning.

Also please look at the attachment.

Answer 1

Answer:

total paper required = 57 cm²

Step-by-step explanation:

given data

slant height b = 4 cm

base side h = 3 cm

block height  h1 = 2 cm

solution

we get surface area of right squared pyramid by add here areas of all 4 triangles that is express as

area = 4 × Area of Triangles

area = 4 × $\frac{bh}{2}$  

area = 4 × $\frac{4\times 3}{2}$  

area = 24 cm²

and

surface are of the box is equal to the area of its 4 side faces + base

area = 4 × ( h × h1 ) + h²  

area = 4 × ( 3 × 2 ) + 3²

area = 24 + 9

area = 33 cm²

so total paper required = 24 + 33

so total paper required = 57 cm²