1. Find the area of the triangle.
Graphic
39.6 yd2
243.2 yd2
121.6 yd2
47.2 yd2
2. Find the volume of the cylinder. Use π ≈ 3.14.
Graphic
24,115.2 ft3
90,432 ft3
964.61 ft3
904.32 ft3
3. Find the area of the triangle.
Graphic
19.8 cm2
18.98 cm2
9.9 cm2
9.49 cm2
4. Tamara needs to buy motor oil to fill the 7 empty cylindrical barrels at her oil service center. Each barrel is 4.5 ft deep and has a radius of 1.5 ft. What volume of oil does she need? Use π ≈ 3.14.
225 ft3
31.79 ft3
222.55 ft3
223.78 ft3
5. Find the area of a parallelogram with a base of 16 cm and a height of 3 cm.
32 cm²
48 cm²
5.3 cm²
19 cm²
6. Use the net to find the surface area of the prism.
Graphic
1,875 m2
775 m2
1,137 m2
1,150 m2
7. Find the area of the figure.
Graphic
408 cm2
304 cm2
288 cm2
344 cm2
8. Find the area of the parallelogram.
Graphic
72.8 cm2
41.6 cm2
34.8 cm2
108.16 cm2
9. Use π ≈ 3.14 to estimate the circumference of the circle.
Graphic
51.72 in.2
2,640.74 in.
51.72 in.
182.12 in.
10. Find the surface area of the cylinder with a base radius of 1.8 mm and a height of 11 mm. Use π ≈ 3.14, and round to the nearest hundredth.
18.08 mm2
72.30 mm2
36.17 mm2
144.69 mm2
11. Identify the prism.
Graphic
triangular prism
rectangular prism
hexagonal prism
octagonal prism
12. Use π ≈ 3.14 to estimate the area of the circle.
Graphic
5,278.34 yd2
64.37 yd2
128.74 yd2
1,319.585 yd2
13. Find the area of a triangle with a base of 16.5 cm and a height of 7.6 cm.
31.35 cm²
6.27 cm²
62.7 cm²
125.4 cm²
14. Use π ≈ 3.14 to estimate the area of a circle with a radius of 23 cm.
3,322.12 cm2
1,661.06 cm2
72.22 cm2
144.44 cm2
15. Find the area of the parallelogram.
Graphic
32.8 mm2
62.4 mm2
108.16 mm2
41.6 mm2
16. Chris wants to put a fence around his square garden. If the garden covers an area of 36 ft2, how many feet of fencing does he need?
18 ft
24 ft
30 ft
12 ft
17. Find the area of a triangle with a base of 17 cm and a height of 3 cm.
51 cm²
25.5 cm²
68 cm²
34 cm²
18. Estimate the value of squareroot of 23.
3
4
6
5
19. Use the figure. Which segment does BF-segment intersect?
Graphic
HG-segment
EH-segment
BA-segment
none of these
20. Find the area of the figure.
Graphic
468 units2
74 units2
936 units2
616 units2
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1. To find the area of a triangle, you can use the formula: Area = (base * height) / 2. Look at the given graphic and identify the base and height of the triangle. Multiply the base by the height, then divide the result by 2 to get the area. In this case, the correct answer is 39.6 yd².
2. To find the volume of a cylinder, you can use the formula: Volume = π * (radius^2) * height. Look at the given graphic and identify the radius and height of the cylinder. Substitute these values into the formula, using the approximation π ≈ 3.14, and calculate the volume. In this case, the correct answer is 964.61 ft³.
3. To find the area of a triangle, you can use the same formula as in question 1: Area = (base * height) / 2. Look at the given graphic and identify the base and height of the triangle. Multiply the base by the height, then divide the result by 2 to get the area. In this case, the correct answer is 9.9 cm².
4. To find the volume of a cylindrical barrel, you can use the same formula as in question 2: Volume = π * (radius^2) * height. Look at the given information and identify the radius and height of the barrel. Substitute these values into the formula, using the approximation π ≈ 3.14, and calculate the volume. In this case, the correct answer is 31.79 ft³.
5. To find the area of a parallelogram, you can use the formula: Area = base * height. Look at the given information and identify the base and height of the parallelogram. Multiply the base by the height to get the area. In this case, the correct answer is 48 cm².
6. To find the surface area of a prism, you need to calculate the sum of the areas of all its faces. Look at the given net and identify the shapes of its faces. Calculate the area of each face separately, then add them all together to get the total surface area. In this case, the correct answer is 775 m².
7. To find the area of a figure, you need to determine the shape of the figure and use the appropriate formula. Look at the given figure and identify its shape. Once you know the shape, use the corresponding formula to calculate the area. In this case, the correct answer is 408 cm².
8. To find the area of a parallelogram, you can use the formula: Area = base * height. Look at the given graphic and identify the base and height of the parallelogram. Multiply the base by the height to get the area. In this case, the correct answer is 72.8 cm².
9. To estimate the circumference of a circle, you can multiply the diameter by π (pi). Look at the given graphic and determine the diameter of the circle. Multiply the diameter by 3.14 (or use the approximation π ≈ 3.14) to get an approximate value for the circumference. In this case, the correct answer is 51.72 in.
10. To find the surface area of a cylinder, you need to calculate the sum of the areas of its two bases and its lateral surface area. The formula for the lateral surface area is: Lateral Surface Area = 2 * π * radius * height. Look at the given information and identify the radius and height of the cylinder. Substitute these values into the formula, using the approximation π ≈ 3.14, and calculate the lateral surface area. Then calculate the areas of the two bases by using the formula for the area of a circle, which is π * (radius^2). Finally, add all three areas together to get the surface area. In this case, the correct answer is 36.17 mm².
11. To identify the type of prism, you need to examine the shape of its bases. Look at the given graphic and identify the shape of the bases. In this case, the correct answer is a rectangular prism.
12. To estimate the area of a circle, you can use the formula: Area = π * (radius^2). Look at the given graphic and determine the radius of the circle. Substitute the radius into the formula, using the approximation π ≈ 3.14, and calculate the area. In this case, the correct answer is 128.74 yd².
13. To find the area of a triangle, you can use the formula: Area = (base * height) / 2. Look at the given information and identify the base and height of the triangle. Multiply the base by the height, then divide the result by 2 to get the area. In this case, the correct answer is 62.7 cm².
14. To estimate the area of a circle, you can use the formula: Area = π * (radius^2). Look at the given information and determine the radius of the circle. Substitute the radius into the formula, using the approximation π ≈ 3.14, and calculate the area. In this case, the correct answer is 1,661.06 cm².
15. To find the area of a parallelogram, you can use the formula: Area = base * height. Look at the given graphic and identify the base and height of the parallelogram. Multiply the base by the height to get the area. In this case, the correct answer is 41.6 mm².
16. To find the perimeter of a square, you can use the formula: Perimeter = 4 * side length. Look at the given information and determine the side length of the square. Multiply the side length by 4 to get the perimeter. In this case, the correct answer is 24 ft.
17. To find the area of a triangle, you can use the formula: Area = (base * height) / 2. Look at the given information and identify the base and height of the triangle. Multiply the base by the height, then divide the result by 2 to get the area. In this case, the correct answer is 25.5 cm².
18. To estimate the square root of a number, you need to find the square root value that is closest to the given number. Look at the given number and compare it to the given options. In this case, the closest estimate to the square root of 23 is 5.
19. To determine which segment BF intersects, you need to examine the figure and locate the points where BF intersects other segments. Look at the given graphic and identify the points where BF cuts across other segments. In this case, BF intersects the HG-segment.
20. To find the area of a figure, you need to determine the shape of the figure and use the appropriate formula. Look at the given figure and identify its shape. Once you know the shape, use the corresponding formula to calculate the area. In this case, the correct answer is 468 units².