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Exploring Surface Area and Volume of Composite Shapes

Exploring Surface Area and Volume of Composite Shapes

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
7.G.B.6, HSG.GMD.A.3, 1.G.A.2

+4

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.7.G.B.6
,
CCSS.HSG.GMD.A.3
,
CCSS.1.G.A.2
CCSS.3.MD.C.7D
,
CCSS.5.MD.C.5C
,
CCSS.HSG.SRT.C.8
,
CCSS.8.G.C.9
,
This video tutorial explains how to calculate the surface area and volume of composite solids, which are shapes made by combining multiple three-dimensional figures. The instructor demonstrates the process using two examples: one involving a rectangular prism and a cylinder, and another involving a rectangular prism and a pyramid. The video covers the step-by-step calculations for both surface area and volume, emphasizing the importance of breaking down the problem into manageable parts.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a composite solid?

A solid with a complex structure

A solid that changes shape under pressure

A solid made from a single three-dimensional shape

A solid made by combining more than one three-dimensional shape

Tags

CCSS.1.G.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the surface area of a composite solid?

Divide the surface areas of individual shapes

Add the surface areas of individual shapes together

Subtract the surface areas of individual shapes

Multiply the surface areas of individual shapes

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2πrh

πr^2h

πr^2 + 2πrh

2πr(h + r)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the volume of a rectangular prism?

Length + Width + Height

Length x Width x Height

2(Length + Width + Height)

Length / Width / Height

Tags

CCSS.7.G.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct way to calculate the volume of a half-cylinder?

πr^2h

πr^2/2h

1/2πr^2h

2πr^2h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the surface area of a composite shape?

By adding the areas of individual shapes

By multiplying the areas of individual shapes

By subtracting the areas of individual shapes

By dividing the areas of individual shapes

Tags

CCSS.3.MD.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in calculating the volume of a composite shape?

Subtract the volume of the smaller shape from the larger one

Find the volume of the largest shape only

Calculate the volume of each shape separately and then add them

Multiply the volumes of all shapes together

Tags

CCSS.5.MD.C.5C

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