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Measurement and modeling

Authored by Una Smit

Mathematics

10th Grade

CCSS covered

Measurement and modeling
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25 questions

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1.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

What is the formula for calculating the volume of a cube?

V = l × w × h

Answer explanation

The volume of a cube is calculated using the formula V = a^3, where 'a' is the length of one side. This means you multiply the side length by itself three times, which is why this is the correct choice.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

2.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

If a cube has a side length of 3 cm, what is its volume?

9 cm³

18 cm³

27 cm³

36 cm³

Answer explanation

The volume of a cube is calculated using the formula V = side³. For a cube with a side length of 3 cm, V = 3³ = 27 cm³. Therefore, the correct answer is 27 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

3.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

Which formula is used to calculate the volume of a rectangular prism?

V = l × w × h

Answer explanation

The volume of a rectangular prism is calculated using the formula V = l × w × h, where l is length, w is width, and h is height. This formula accurately represents the three-dimensional space occupied by the prism.

Tags

CCSS.7.G.B.6

4.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

What is the formula for the volume of a cylinder?

Answer explanation

The volume of a cylinder is calculated using the formula \(\pi r^2 h\), where \(r\) is the radius and \(h\) is the height. This formula accounts for the circular base area multiplied by the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

How is the volume of a cone calculated?

Answer explanation

The volume of a cone is calculated using the formula \(\frac{1}{3} \pi r^2 h\), where \(r\) is the radius of the base and \(h\) is the height. This formula accounts for the cone's tapering shape.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

What is the formula for the volume of a sphere?

Answer explanation

The volume of a sphere is calculated using the formula \(\frac{4}{3} \pi r^3\). This formula accounts for the three-dimensional space occupied by the sphere, where \(r\) is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

20 mins • 4 pts

How do you calculate the volume of a cylinder?

\(2 \pi r h\)

Answer explanation

The volume of a cylinder is calculated using the formula \(\pi r^2 h\), where \(r\) is the radius and \(h\) is the height. This formula accounts for the circular base area multiplied by the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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