Surface Area of Prisms and Cubes

Surface Area of Prisms and Cubes

Ms. McLean

• I can calculate surface area for pyramids, prisms and cubes​

​

Objectives

NC.7.G.6 Solve real-world and mathematical problems involving: • Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

​Standard

Standard and objectives

Multiple Choice

• A

• B

• C

• D

Multiple Choice

What is the formula for the area of a triangle?

• A=bh

• A=lw

• A=s²

• A=1/2(bh)

Multiple Select

What is the formula for the area of a rectangle?

• A=bh

• A=lw

• A=s²

• A=1/2(bh)

What is a prism?

• Prisms have two bases of the same shape with rectangular sides

Open Ended

Think of the words surface area. What do you think we are trying to calculate when we are looking for the surface area of a prism or pyramid?

Calculating surface area

When we are calculating surface area, we are finding the area of each face (or surface) on a 3-dimensional shape and adding them together

Multiple Choice

Which figure will this net make?

• Rectangular Prism 

• Triangular Prism

• Triangular Pyramid 

• Cube

Multiple Choice

Which figure will this net make?

• Rectangular Prism 

• Triangular Prism

• Triangular Pyramid 

• Cube

Multiple Choice

Name the 3-D shape

• Cube

• Rectangular Prism

• Rectangular Pyramid

• Triangular Prism

• Triangular Pyramid

​Find the surface area

​Find the surface area

​Word Problem

Anna is painting the outside of cardboard box for an art project. The box is a rectangular prism that has a length of 24 inches, a width of 24 inches, and a height of 30 inches. Find the area that Anna will have to paint.

Multiple Choice

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Multiple Choice

Find the total surface area of the prism.

• 161 square feet

• 1,700 square feet

• 75 square feet

• 186 square feet

Multiple Choice

A rectangular prism has a length of 5x, a width of 3 and a height of 7. Which expression matches the surface area of the rectangular prism?

• 100x + 42

• 5x + 10

• 50x + 21

• 35x + 38

Multiple Choice

• $2.22

• $5.67

• $1.89

• $6.66