
Volume and Cross Sections: 8th Grade Math Challenge
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is the volume of the tank? If the tank is cut in half horizontally, what is the volume of each half?
60π cubic feet for the full tank, 30π cubic feet for each half
100π cubic feet for the full tank, 50π cubic feet for each half
90π cubic feet for the full tank, 45π cubic feet for each half
75π cubic feet for the full tank, 37.5π cubic feet for each half
Tags
CCSS.HSG.GMD.A.3
CCSS.8.G.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular prism has a length of 4 meters, a width of 3 meters, and a height of 5 meters. If you slice the prism vertically through the length, what is the area of the cross section created?
12 square meters
15 square meters
20 square meters
10 square meters
Tags
CCSS.7.G.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cone has a base radius of 2 inches and a height of 6 inches. Calculate the volume of the cone. If you slice the cone horizontally at a height of 2 inches, what is the volume of the smaller cone formed?
4π cubic inches for the original cone and 1.5π cubic inches for the smaller cone.
6π cubic inches for the original cone and 1.5π cubic inches for the smaller cone.
8π cubic inches for the original cone and 2.3625π cubic inches for the smaller cone.
10π cubic inches for the original cone and 3.14π cubic inches for the smaller cone.
Tags
CCSS.HSG.GMD.A.3
CCSS.8.G.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular prism has a base area of 12 square centimeters and a height of 8 centimeters. What is the volume of the prism? If you cut the prism parallel to the base, what will be the area of the cross section?
Volume: 96 cm³, Cross section area: 12 cm²
Volume: 100 cm³, Cross section area: 12 cm²
Volume: 72 cm³, Cross section area: 10 cm²
Volume: 80 cm³, Cross section area: 15 cm²
Tags
CCSS.7.G.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A sphere has a radius of 5 cm. What is the volume of the sphere? If you slice the sphere through its center, what is the area of the circular cross section?
Volume: 250π cm³, Area of cross section: 20π cm²
Volume: (500/3)π cm³, Area of cross section: 25π cm²
Volume: 100π cm³, Area of cross section: 30π cm²
Volume: (300/3)π cm³, Area of cross section: 15π cm²
Tags
CCSS.HSG.GMD.A.3
CCSS.8.G.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular pool is 10 meters long, 4 meters wide, and 2 meters deep. What is the volume of the pool? If you take a cross section of the pool at a depth of 1 meter, what is the area of that cross section?
Volume: 80 cubic meters; Cross section area: 50 square meters
Volume: 60 cubic meters; Cross section area: 30 square meters
Volume: 80 cubic meters; Cross section area: 40 square meters
Volume: 100 cubic meters; Cross section area: 20 square meters
Tags
CCSS.7.G.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cylinder has a height of 12 cm and a diameter of 6 cm. Calculate the volume of the cylinder. If you make a horizontal cut at 4 cm from the base, what is the volume of the top section?
36π cm³
48π cm³
60π cm³
72π cm³
Tags
CCSS.HSG.GMD.A.3
CCSS.8.G.C.9
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