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Grade 7 Geometry: Prisms and Pyramids

Explore the properties, nets, surface area, and volume of prisms and pyramids in this Grade 7 geometry worksheet.

Grade 7 Math GeometryPrisms and Pyramids
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.7.G.B.4CCSS.MATH.CONTENT.7.G.B.6

Topics

geometryprismspyramidssurface areavolumenetsgrade 7
8 sections · Free to use · Printable
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Grade 7 Geometry: Prisms and Pyramids

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.

1. Which of the following describes a pyramid?

a

Two parallel bases and rectangular faces.

b

One base and triangular faces meeting at a single vertex.

c

A curved surface and two circular bases.

d

No bases and all faces are triangles.

2. How many faces does a triangular prism have?

a

3

b

4

c

5

d

6

1. The shape of the base of a rectangular pyramid is a  .

2. A prism has two   bases.

3. The lateral faces of a pyramid are always  .

1. Calculate the volume of the rectangular prism shown below. (Formula: V = l × w × h)

5 cm4 cm3 cm

2. A triangular pyramid has a base with an area of 12 cm² and a height of 8 cm. Calculate its volume. (Formula: V = (1/3) × Base Area × height)

1. All prisms have rectangular lateral faces.

T

True

F

False

2. A square pyramid has five faces.

T

True

F

False

Match each 3D shape with its net.

1. Rectangular Prism

 

a. One square and four triangles

2. Triangular Pyramid

 

b. Two triangles and three rectangles

3. Square Pyramid

 

c. Six rectangles

A gift box is shaped like a cube with side length 10 cm. If you want to wrap it, what is the minimum amount of wrapping paper needed (surface area)? (Formula for cube surface area: SA = 6s²)