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Composite Shapes: Surface Area and Volume

Composite Shapes: Surface Area and Volume

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This tutorial video explains how to calculate the surface area and volume of a composite shape consisting of a triangular prism on top of a rectangular prism. The instructor breaks down the process into calculating the surface area of each component separately and then summing them up. The video also covers the volume calculation by determining the base area and multiplying it by the height for each prism. The tutorial provides a step-by-step guide with numerical examples to help students understand the concepts of surface area and volume in composite shapes.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two shapes that make up the composite shape discussed in the tutorial?

Triangular prism and rectangular prism

Cylinder and cube

Pyramid and cylinder

Sphere and cone

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the area of a triangle calculated in the context of the triangular prism?

Length times width times height

Length times width

Base times height divided by two

Base times height

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which part of the triangular prism is not included in the surface area calculation?

Rectangle separating the prisms

Side roof

Back triangle

Front triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the right wall of the rectangular prism?

1.4 times 1.6

2.4 times 1.6

2.4 times 1.4

1.3 times 1.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different shapes are considered for the bottom part of the composite shape?

Four

Three

Six

Five

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total surface area of the composite shape?

30.56 square yards

25.56 square yards

21.56 square yards

18.56 square yards

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the triangular prism in the volume calculation?

The area of the triangle

The width of the prism

The length of the prism

The surface it sits on

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