Total Surface Area of Pyramids

Surface Area of Prisms and Pyramids

Ms. McLean

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

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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

What is the difference between a prism and a pyramid?

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

• Pyramids have one base with triangular sides

Surfaces of geometric shapes

​	​Number of faces (surfaces)	Types of Faces
​Rectangular Prism	​	​
Rectangular Pyramid	​	​
​Cube	​	​
​Triangular Prism	​	​
​Triangular 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

​Find the surface area

​Find the surface area

​Find the surface area

​Word Problem

Anna is painting the outside of a 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.

​Word Problem

The surface area of a cub is 864 square centimeters. What is the area of each face of the cube?

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