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NNADVOKAT
19 days ago
13

The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely wit

h paper. How much paper do you​ need? Use a pencil and paper to explain your reasoning.
Also please look at the attachment.

Mathematics
1 answer:
Zina [12.3K]19 days ago
6 0

Response:

Total paper needed is 57 cm²

Detailed explanation:

Provided information

slant height b = 4 cm

base side h = 3 cm

block height  h1 = 2 cm

Solution

The surface area of a right square pyramid is determined by summing the areas of all four triangular faces expressed as

area = 4 × Area of Triangles

area = 4 × \frac{bh}{2}  

area = 4 × \frac{4\times 3}{2}  

area = 24 cm²

Also,

the surface area of the box includes the area of its four side faces plus the base

area = 4 × ( h × h1 ) + h²  

area = 4 × ( 3 × 2 ) + 3²

area = 24 + 9

area = 33 cm²

Thus, the total paper required is = 24 + 33

therefore, the total paper needed equals 57 cm²

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