Surface Area and Volume: Surface Area of Rectangular Pyramids

What is the surface area of the rectangular pyramid? ____ m2

82.8

Alexander makes a model of the Great Pyramid of Giza with the dimensions shown. Alexander wants to paint the model. How much paint will he need? The area of the square base is ___in.2. The area of each triangular face is ___ in.2. Alexander will need ____ in.2 of paint.

100 40 260

Henrique drew and labeled the net shown. He also labeled the areas of the left and right triangular sides. Use Henrique's work and finish finding the areas of the faces. What is the surface area of the rectangular pyramid?

117.2 in2

The net of a square pyramid is shown below. What are the possible areas for a single face in this net? Check all that apply. 11 square inches 15 square inches 24 square inches 25 square inches 30 square inches

15 square inches 25 square inches

What is the surface area of the square pyramid? 6 square meters 16 square meters 28 square meters 49 square meters

16 square meters

What are the dimensions of the rectangular face of the pyramid? The dimensions of the rectangular face are 3 feet by ___ feet.

5

How many faces does this pyramid have?

5 faces

What is the best name of the solid that can be formed by this net? rectangular pyramid rectangular prism triangular prism tetrahedron

rectangular pyramid

The figure in the center of the net has four congruent sides. What is the best name of the solid that can be formed by this net? square pyramid square prism triangular prism tetrahedron

square pyramid

What is the surface area of the pyramid? 110 square units 166 square units 280 square units 312 square units

166 square units

Complete the statements about the net of this pyramid. The net will have ___ square face(s). The net will have ___ triangular face(s). The triangular faces are ______. The net will have a total of ___ faces.

1 4 identical 5

Rahul is wrapping a gift that has the dimensions shown. What is the least amount of wrapping paper he will need?

24 ft2

Claire says the area of the square face is 8 m2. Is she correct? No, the face's dimensions are 4 m by 7 m, so the area is 14 m2. No, the face's dimensions are 4 m by 4 m, so the area is 16 m2. No, the face's dimensions are 4 m by 7 m, so the area is 28 m2. Yes, the face's dimensions are 4 m by 4 m, so the area is 8 m2.

No, the face's dimensions are 4 m by 4 m, so the area is 16 m2.

Which pyramid has the greatest surface area?

Pyramid A

A square base of a pyramid has the dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you find the surface area of the pyramid?

Sample Response: First, draw and label a net of the pyramid. The triangular faces have a base of 5 yards and a height of 12 yards. Find the area of each of the faces. The square base has an area of 25 yd2. Each of the triangular faces has an area of 30 yd2. Add the areas together to find the surface area: 25

What are the areas of the faces of the rectangular pyramid? Select all that apply. 12 in.2 24 in.2 30 in.2 20.8 in.2 60 in.2 61.2 in.2

24 in.2 30 in.2 20.8 in.2

An artist designed a metal structure in the shape of a pyramid with dimensions as shown. The artist decides to cover the metal structure with 1-foot square glass tiles. How many tiles will she need to cover the pyramid? 234 tiles 324 tiles 504 tiles 594 tiles

504 tiles

Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need? 24.9 m2 55.7 m2 75.7 m2 105.4 m2

55.7 m2

Label the net by defining each variable. a = ___ m b = ___ m c = ____ m

6 2 6

What is the surface area of the triangular prism? The area of the bottom face is ___m2. The area of one of the rectangular side faces is ____ m2. The area of one of the triangular faces is ____ m2. The surface area of the prism is _____m2.

80 50 12 204

Which statement about the net is true? The net can be folded to form a pyramid because at least one of the faces is a triangle. The net can be folded to form a pyramid because more than one of the faces is a triangle. The net cannot be folded to form a pyramid because one of the faces is a rectangle. The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

What is a net? any of the individual surfaces of a solid object a pattern of two-dimensional shapes that can be folded to make a model of a solid figure a solid figure with a base that is a polygon and sides that are triangles that meet at the top the total area of the surface of a solid figure

a pattern of two-dimensional shapes that can be folded to make a model of a solid figure

What is the surface area of the square pyramid? The surface area is _____ yd2.

16

Each of the triangular faces has an area of 32 m2. What is the surface area of the square pyramid? 64 m2 96 m2 192 m2 256 m2

192 m2

A student found the surface area of this pyramid. Surface area = (12)(6) + 1/2 (12)(8) + 1/2 (6)(9.5) = 72 + 48 + 28.5 = 148.5cm² What error did the student make? The student should have used the same value for all of the triangular faces. The student added only three of the five faces. The student did not use the correct formula to find the area of the triangular faces. The student did not find the correct area of the rectangular base.

The student added only three of the five faces.

What is surface area? any of the individual surfaces of a solid object a pattern of two-dimensional shapes that can be folded to make a model of a solid figure a solid figure with a base that is a polygon and sides that are triangles that meet at the top the total area of the surface of a solid figure

the total area of the surface of a solid figure