Exploring Surface Area of Prisms

This video tutorial focuses on calculating the surface area of prisms, specifically triangular and rectangular prisms. It begins by explaining the difference between volume and surface area, then provides step-by-step instructions for calculating the surface area of triangular prisms, including examples. The video also introduces a specific formula for calculating the surface area of rectangular prisms, followed by examples and a review of the concepts covered.

What is the primary difference between volume and surface area?

• Volume measures the interior space, surface area measures the exterior.

• Volume measures the exterior, surface area measures the interior.

• Both measure the exterior space of a shape.

• Both measure the interior space of a shape.

How many faces does a triangular prism have?

• Six

• Five

• Four

• Three

Tags

CCSS.6.G.A.4

What is the area of a rectangle if its length is 15 inches and width is 6 inches?

• 110 square inches

• 100 square inches

• 21 square inches

• 90 square inches

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the total surface area of the first triangular prism discussed?

• 324 square inches

• 200 square inches

• 400 square inches

• 500 square inches

Tags

CCSS.7.G.B.6

For the second triangular prism, what is the area of one of its triangular faces?

• 66 square yards

• 60 square yards

• 55 square yards

• 12 square yards

Tags

CCSS.7.G.B.6

What is the surface area of the second triangular prism?

• 200 square yards

• 250 square yards

• 150 square yards

• 300 square yards

Tags

CCSS.7.G.B.6

What formula is used to calculate the surface area of a rectangular prism?

• 2lw + 2lh + 2wh

• lwh

• lw + lh + wh

• 2(lw + lh + wh)

Tags

CCSS.7.G.B.6

What is the surface area of the first rectangular prism if the dimensions are 37m by 30m by 31m?

• 4500 square meters

• 5000 square meters

• 6374 square meters

• 3500 square meters

Tags

CCSS.7.G.B.6

What is the surface area of the second rectangular prism with dimensions 28ft by 19ft by 39ft?

• 4730 square feet

• 4000 square feet

• 5200 square feet

• 3500 square feet

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a triangular prism?

• Multiply the base by height

• Add the area of all faces

• Divide the volume by height

• Use the formula 2(lw + lh + wh)

Tags

CCSS.7.G.B.6