Pythagorean Theorem & Volume

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

8.G.C.9, 8.G.B.8, 8.G.B.7

Standards-aligned

Kristin Harrell

Used 6+ times

FREE Resource

7 Slides • 28 Questions

Pythagorean Theorem & Volume

Unit 4

By Kristin Harrell

The Pythagorean Theorem

Hypotenuse

The longest side of a right triangle
The side that is opposite (across) from the 90^o angle.
When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.

Is it a Right Triangle?

Multiple Choice

Is this a right triangle?

Yes

Multiple Choice

Is this a right triangle?

Yes

Multiple Choice

Is this a right triangle?

Yes

Multiple Choice

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

Yes

Multiple Choice

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

Yes

Multiple Choice

Find the missing side.

Multiple Choice

Find the missing side.

Multiple Choice

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

Multiple Choice

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

$17^2+8^2=b^2$

$8^2+b^2=17^2$

$17^2+b^2=8^2$

$\frac{8^2}{b^2}=\frac{17^2}{100}$

Multiple Choice

Level 3

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

Multiple Choice

Shay’s garden is in the shape of a right triangle. The hypotenuse is 15 feet, and the longer leg is 3 feet more

than the shorter leg. What are the lengths of the two legs?

The lengths of the legs of Shay’s triangular garden are 7 feet and 10 feet.

The lengths of the legs of Shay’s triangular garden are 8 feet and 11 feet.

The lengths of the legs of Shay’s triangular garden are 9 feet and 12 feet.

Volume of Cylinder

Multiple Choice

Find the volume of the cylinder.

4239

1696

1130

565

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

128.6 units³

1,286.1 units³

401.9 units³

5,144.6 units³

Multiple Choice

What's the volume of the cylinder?

$V=588\pi$

$V=1008\pi$

$V=168\pi$

$V=1846\pi$

Multiple Choice

A can of pasta has a diameter of 3 inches and a Volume of 50 cubic inches of sauce. What is the height of the can? Round your answer to the nearest tenth.

1.8 inches

5.3 inches

10.6 inches

7.1inches

Multiple Choice

A cylinder has a height of 12 inches and a radius of 2.5 inches. What is the volume of the cylinder? Use 3.14 for pi and Round your answer to the nearest tenth.

$V=188.4\ in^3$

$V=235.5\ in^3$

$V=75\ in^3$

$V=94.2\ in^3$

Volume of Cone

Multiple Choice

V = ?

14.13 in³

56.52 in³

169.56 in³

Multiple Choice

v = ?

2,144.66 m³

1,608.49 m³

536.17 m³

498.62 m³

Multiple Choice

find the volume. Round to the nearest hundredth.

1526.82mi

1326cm³

6104.16mi³

1026.04mi³

Multiple Choice

What is the volume of the cone?

107 in³

480 in³

160 in³

53 in³

Multiple Choice

$18.67\pi\ cm^3$

$32.67\pi\ cm^3$

$98\pi\ cm^3$

$175.84\pi\ cm^3$

Multiple Choice

$A\ cone\ has\ a\ volume\ of\ 320\pi\ mm^3\ and\ a\ base\ radius\ of\ 9mm.$ What is the height of the cone? Round the the nearest whole number.

10 mm

9 mm

12 mm

11 mm

Volume of Spheres

Multiple Choice

Find the Volume of the Sphere

904.32 ft³

7,234.56 ft³

150.72 ft³

Multiple Choice

Find the volume of the sphere. Use 3.14 for $\pi$ . Round to nearest tenth.

78.5 $m^3$

392.5 $m^3$

523.3 $m^3$

62.8 $m^3$

Multiple Choice

A golf ball has a diameter of 1.68 inches. What is the volume of the golf ball? Use 3.14 for pi and round your answer to the nearest hundredth.

19.85 in³

2.95 in³

2.48 in³

11.82 in³

Multiple Choice

An inflated spherical shaped balloom is filled with 112 in³of air. What is the radius of the balloon? Use 3.14 for pi and round your answer to the nearest inch.

3 in

5 in

2 in

4 in

Multiple Choice

What is the volume of the sphere? Round your answer to the nearest tenth.

1071.8 ft³

200.9 ft³

4287.1 ft³

17,148.6 ft³

Multiple Choice

Find the volume of the hemisphere. Use 3.14 for pi and round your answer to the nearest tenths.

523.3 yd³

32.7 yd³

65.4 yd³

87.2 yd³

Pythagorean Theorem & Volume

Unit 4

By Kristin Harrell

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