Question

1 consider the surface area of the pyramid shown

(A) write the formula for the area of the base? What is the area of the base show your work

(B) write the formula for the area of one side? What is the area of the side show your work

(C) use part (a) and part (b) to find the total surface area. Show your work



2. A tent in the shape of a triangular prism is made using the following piece of fabric

Find the surface area of the fabric. Show your work




3. A rectangular prism has dimensions of 1/2 ,2, and 7/2 in.

(A) how many cubes with side lengths of 1 in. Will fit into the prism? explain.

(B) how many cubes with side lengths of 1/2 in. Will fit into the prism? Explain


Plz help me I will mark Brainiest and u get 40 points if u answer all 3 questions plz help me

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.

Answer 2

Answer:

28 cubes

Step-by-step explanation: