Surface Area and Volume of Shapes

Surface Area and Volume of Shapes

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to calculate the total surface area of a composite 3D shape consisting of a cylinder and a cone. It discusses two methods: drawing a net and using surface area formulas. The video focuses on using formulas, adjusting them for the composite shape by removing unnecessary parts. It provides a step-by-step calculation, including defining variables and using Pythagoras' theorem to find the slant height of the cone. The final calculation yields the total surface area of the composite shape.

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26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which shapes make up the composite object in the video?

A cube and a cone

A pyramid and a prism

A cylinder and a cone

A sphere and a cube

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the video tutorial?

To understand the concept of volume and surface area

To learn about different types of 3D shapes

To calculate the volume of a composite shape

To calculate the total surface area of a composite shape

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two methods mentioned for calculating the total surface area?

Drawing a net or using a protractor

Drawing a net or using surface area formulas

Using a calculator or drawing a net

Using a ruler or using surface area formulas

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the total surface area of a cylinder?

πr² + 2πrh

πr² + πrl

2πr² + πrl

2πr² + 2πrh

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the top circle of the cylinder not included in the surface area calculation?

Because it is too small

Because it is where the two shapes join

Because it is not visible

Because it is not a perfect circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the total surface area of a cone?

2πr² + πrl

πr² + 2πrh

2πr² + 2πrh

πr² + πrl

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first part of the cylinder's surface area formula?

2πrh

2πr²

πrl

πr²

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