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Mathematics
7th -
8thgrade
Volume, Circumference, Area, Similar Figures, Composite Area
24 questions
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- 1. Multiple Choice
A metal tank is shaped like a rectangular prism and is used to store water from a well. The base of the tank has an area of 59.5 square feet (the length and width). If the water level is at a height of 6 feet, what is the volume of water stored in this tank?
65.5 ft³
304 ft³
357 ft³
2142 ftft³
- 2. Multiple Choice
An engineer wants to construct a rectangular sandbox for the students at an elementary school. The sandbox will be filled with sand to complete construction. If each bag of sand contains 6 cubic feet of sand, how many bags will be needed to completely fill the sandbox?
about 8 bags
about 10 bags
about 13 bags
about 15 bags
- 3. Multiple Choice
A tool manufacturer packages one of its power saws in a box that is 1 foot long, 1 foot wide, and 1 foot high. How many of these boxes would fit in a shipping crate that is 4 feet long, 3 feet wide, and 2 feet high?
12 boxes
14 boxes
24 boxes
28 boxes
- 4. Multiple Choice
What is the volume of the solid shown below?
225 in
255 in
285 in
360 in
- 5. Multiple Choice
Which formula would be appropriate to determine the volume of this triangular prism?
V = 3 x 4 x 5 x 8
V = 3 x 4 x 8
V = (3 x 4) ÷ 2 x 5
V = (3 x 4 x 8) ÷ 2
- 6. Multiple Choice
What formula can be used to find the volume of the figure below?
V = Bh
V = Bh ÷ 3
S = 2πrh + 2πr2
V = πr2 ÷ 3
- 7. Multiple Choice
What formula can be used to find the volume of the figure below?
V = Bh ÷ 3
S = 2πrh + 2πr2
V = Bh ÷ 2
V = πr2 ÷3
- 8. Multiple Choice
A triangular prism has a base area of 12 cm and a height of 4 cm. What is the volume? Hint: What does base area (B) represent?
3 cubic centimeters
48 cubic cemtimeters
24 cubic centimeters
124 cubic centimeters
- 9. Multiple Choice
Find the volume of the figure. Round to the nearest tenth.
80 cm³
160 cm3
42 cm3
40 cm³
- 10. Multiple ChoiceLucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume96cm³54cm³80cm³24cm³
- 11. Multiple ChoiceDaniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the distance around the cookie?10 in2.5 in15.7 in31.4 in - 12. Multiple ChoiceThe homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?areacircumferenceneither
- 13. Multiple ChoiceMrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.C = π5C = (2)(π)(2.5)A = π52A = π2.52
- 14. Multiple ChoiceWhich best describes segment AB?chordsecanttangentdiameter
- 15. Multiple Choice
Area of the shaded figure. Hint: you must subtract instead of add.
350
137.5
212.5
484.2
- 16. Multiple ChoiceWhat is the area of the figure?20 sq cm4 sq cm30 sq cm24 sq cm
- 17. Multiple ChoiceArea of figure:54 ft245 ft263 ft236 ft2
- 18. Multiple ChoiceFind the area of the figure shown.34 units2960 units2220 units2480 units2
- 19. Multiple ChoiceFind missing side57911
- 20. Multiple ChoiceFind y.144187212
- 21. Multiple ChoiceUsing a proportion, find the height of the tree.x = 0.0625 ft.16 ftx = 16 ft.
- 22. Multiple ChoiceAngles in the same position are calledCorresponding SidesCorresponding AnglesThe SameCongruent Angles
- 23. Multiple ChoiceA triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?x = 19 cmx = 24 cmx = 3 cmx = 16.5 cm
- 24. Multiple ChoiceTo find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?144 feet72 feet36 feet
- Answer choicesTagsAnswer choicesTags