Question

1 consider the surface area of the pyramid shown

Answer 1

1A. A = 1/2bh
1/2 x 4 x 3.46
A = 6.92 square ft

1B. A = bh
4 x 6
A = 24 square feet

1C. 24 + 6.92 = 30.92 square feet

The surface area of those 2 pieces is 30.92 square feet.

2A. SA = (6.92 x 2) + (24x3)
13.84 + 72
SA = 85.84 Square feet
It would take 85.84 square feet if fabric to make the tent.

3A. V = lwh
1/2 x 2 x 7/2
7/2 cubic inches

You can fit 3 1/2 cubes with side lengths of 1 in because each cube would be 1 cubic inch.

3B. The volume of a cube with edges that are 1/2 in. would be 1/2/ x 1/2 x 1/2 = 1/8 cubic inch.

You would divide 7/2 into groups of 1/8 by multiplying 7/2 by the reciprocal of 1/8.

7/2 x 8/1 = 28 cubes.