Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.
324 cm3
108 cm3
36 cm3
152 cm3
Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
628 mm3
600 mm3
1,884 mm3
1,254 mm3
Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for
π and round to the nearest whole number.
439 ft2
324 ft2
572 ft2
286 ft2
Find the surface area of a square pyramid with a base length of 11 cm and a slant height of 15 cm.
472 cm2
451 cm2
781 cm2
330 cm2
Find the volume of the cylinder.
1,608 in.3
2,846 in.3
6,431 in.3
401 in.3
Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
142 mm3
105 mm3
126 mm3
130 mm3
To find the volume of a square pyramid, you can use the formula V = (1/3) * base area * height.
First, find the base area of the pyramid by squaring the base length: 9 cm * 9 cm = 81 cm^2.
Next, multiply the base area by the height of the pyramid: 81 cm^2 * 4 cm = 324 cm^3.
Therefore, the volume of the square pyramid is 324 cm^3.
To find the volume of a cone, you can use the formula V = (1/3) * π * radius^2 * height.
First, square the radius: 10 mm * 10 mm = 100 mm^2.
Next, multiply the result by π (approximately 3.14): 100 mm^2 * 3.14 ≈ 314 mm^2.
Finally, multiply the result by the height of the cone: 314 mm^2 * 6 mm = 1884 mm^3.
Therefore, the volume of the cone is 1884 mm^3.
To find the lateral area of a cone, you can use the formula LA = π * radius * slant height.
First, multiply the radius by the slant height: 7 ft * 13 ft = 91 ft^2.
Next, multiply the result by π (approximately 3.14): 91 ft^2 * 3.14 ≈ 286.54 ft^2.
Round the result to the nearest whole number: 286 ft^2.
Therefore, the lateral area of the cone is 286 ft^2.
To find the surface area of a square pyramid, you can use the formula SA = base area + (1/2) * slant height * perimeter of the base.
First, find the base area by squaring the base length: 11 cm * 11 cm = 121 cm^2.
Next, find the perimeter of the base by multiplying the base length by 4: 11 cm * 4 = 44 cm.
Next, multiply the slant height by the perimeter of the base: 15 cm * 44 cm = 660 cm^2.
Finally, add the base area and the result from the previous step: 121 cm^2 + 660 cm^2 = 781 cm^2.
Therefore, the surface area of the square pyramid is 781 cm^2.
To find the volume of a cylinder, you can use the formula V = π * radius^2 * height.
First, square the radius: 10 mm * 10 mm = 100 mm^2.
Next, multiply the result by π (approximately 3.14): 100 mm^2 * 3.14 ≈ 314 mm^2.
Finally, multiply the result by the height of the cylinder: 314 mm^2 * 6 mm = 1884 mm^3.
Therefore, the volume of the cylinder is 1884 mm^3.
To find the volume of a rectangular prism, you can use the formula V = length * base * height.
Simply multiply the length (5 mm), base (7 mm), and height (3 mm): 5 mm * 7 mm * 3 mm = 105 mm^3.
Therefore, the volume of the rectangular prism is 105 mm^3.