The table shows the dimensions of three cylinders. Which two cylinders have the same lateral surface area in square inches?

Volume and Surface Area

Authored by SIRVERA COX

Mathematics

8th Grade

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MULTIPLE CHOICE QUESTION

2 mins • 8 pts

A cylindrical swimming pool has a radius of 9 feet and a height of 4 ft. Which equation can be used to find V, the volume of the swimming pool in cubic feet?

$V=2\left(9\right)\left(4\right)$

$V=\left(9\right)^2\left(4\right)$

$V=\pi\left(9\right)^2\left(4\right)$

$V=2\pi\left(9\right)\left(4\right)$

Tags

TEKS.MATH.8.6A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

The volume of a cylinder is 87.35 cubic inches, and the radius is 5.17 inches. Which equation can be used to find h, the height of the cylinder in inches?

$h=\frac{87.35}{\left(5.17\right)^2}$

$h=\frac{\left(5.17\right)^2}{87.35}$

$h=\frac{\pi\left(5.17\right)^2}{87.35}$

$h=\frac{87.35}{\pi\left(5.17\right)^2}$

Tags

TEKS.MATH.8.6A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

Fulgurites are pieces of glass in the shape of a cylinder produced when lightning strikes sand. A student found a fulgurite with a height of 21 inches and a diameter of 6 inches. Which equation can be used to find V, the volume of the fulgurite in cubic inches?

$V=\pi\left(6\right)^2\left(21\right)$

$V=\pi\left(3\right)^2\left(21\right)$

$V=\pi\left(6\right)\left(21\right)$

$V=\pi\left(3\right)\left(21\right)$

Tags

TEKS.MATH.8.6A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

A marble is in the shape of a sphere with a diameter of 13 millimeters. Which measurement is closest to the volume of the marble in cubic millimeters?

$1,150\ mm^3$

$863\ mm^3$

$6,902\ mm^3$

$9,203\ mm^3$

Tags

TEKS.MATH.8.7A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

A cone has a radius of 12 centimeters and a height of 18 centimeters. What is the volume of the cone in cubic centimeters?

$2592\pi\ cm^3$

$144\pi\ cm^3$

$864\pi\ cm^3$

$1296\pi\ cm^3$

Tags

TEKS.MATH.8.7A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere. Which measurement is closest to the volume of the figure in cubic centimeters?

$141.37\ cm^3$

$197.92\ cm^3$

$254.47\ cm^3$

$311.02\ cm^3$

Tags

TEKS.MATH.8.7A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

Mount Fuji in Japan can be modeled as a cone with a diameter of 25 miles and a height of 2.35 miles. Which measurement is closest to the volume of Mount Fuji in cubic miles?

$1154\ mi^3$

$385\ mi^3$

$1538\ mi^3$

$72\ mi^3$

Tags

TEKS.MATH.8.7A

MULTIPLE CHOICE QUESTION

2 mins • 8 pts

A triangular prism and its dimensions in feet are shown. What is the total surface area of the prism in square feet?

$456\ ft^2$

$672\ ft^2$

$768\ ft^2$

$576\ ft^2$

Tags

TEKS.MATH.8.7B

MATH RESPONSE QUESTION

2 mins • 8 pts

A diagram of a toy box is shown. Its measurements are given in inches. What is the total surface area of the toy box in square inches?

$7160$

Mathematical Equivalence

Tags

TEKS.MATH.8.7B

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Volume and Surface Area

A cylindrical swimming pool has a radius of 9 feet and a height of 4 ft. Which equation can be used to find V, the volume of the swimming pool in cubic feet?

The volume of a cylinder is 87.35 cubic inches, and the radius is 5.17 inches. Which equation can be used to find h, the height of the cylinder in inches?

Fulgurites are pieces of glass in the shape of a cylinder produced when lightning strikes sand. A student found a fulgurite with a height of 21 inches and a diameter of 6 inches. Which equation can be used to find V, the volume of the fulgurite in cubic inches?

A marble is in the shape of a sphere with a diameter of 13 millimeters. Which measurement is closest to the volume of the marble in cubic millimeters?

A cone has a radius of 12 centimeters and a height of 18 centimeters. What is the volume of the cone in cubic centimeters?

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere. Which measurement is closest to the volume of the figure in cubic centimeters?

Mount Fuji in Japan can be modeled as a cone with a diameter of 25 miles and a height of 2.35 miles. Which measurement is closest to the volume of Mount Fuji in cubic miles?

A triangular prism and its dimensions in feet are shown. What is the total surface area of the prism in square feet?

A diagram of a toy box is shown. Its measurements are given in inches. What is the total surface area of the toy box in square inches?

A rectangular prism is shown. Figures are not drawn to scale. Which rectangular prism has the same total surface area?

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