Question

1. Find the surface area of the square pyramid shown below? 2. Find the surface area of the cube shown below?

Answer 1

Answer:

Part 1) $SA=40\ units^2$

Part 2) $SA=6.25\ units^2$

Step-by-step explanation:

Part 1) we know that

The surface area of a square pyramid is equal to the area of the square base plus the area of its four triangular faces

so

$SA=b^2+4[\frac{1}{2}(b)(h)]$

we have

$b=4\ units\\h=3\ units$

substitute

$SA=4^2+4[\frac{1}{2}(4)(3)]$

$SA=16+24=40\ units^2$

Part 2) we know that

The surface are of the cube is equal to the area of its six square faces

so

$SA=6b^2$

we have

$b=2.5\ units$

substitute

$SA=2.5^2\\SA=6.25\ units^2$

Answer 2

Answer:

40

Step-by-step explanation:

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