Find the volume of the rectangular prism. Round to the nearest tenth.
image shows a rectangular prism with a height of 4 cm, a width of 5 sm, and a length of 7 cm.
To find the volume of a rectangular prism, you multiply the length, width, and height together.
So in this case, the volume would be:
Volume = length * width * height
= 7 cm * 5 cm * 4 cm
= 140 cm³
Rounded to the nearest tenth, the volume of the rectangular prism is 140 cm³.
4. Find the volume of the pyramid. Round to the nearest tenth.
Image shows a pyramid with a height of 9 mi, a width of 7 mi, and a length of 6 mi
To find the volume of a pyramid, you multiply the base area by the height and divide by 3.
The base of the pyramid seems to be rectangle. To find the base area of the pyramid, multiply the width and length of the base.
Base area = width * length
= 7 mi * 6 mi
= 42 mi²
Now, substitute the values of the base area and the height into the volume formula for a pyramid.
Volume = (base area * height) / 3
= (42 mi² * 9 mi) / 3
= 378 mi³ / 3
= 126 mi³
Rounded to the nearest tenth, the volume of the pyramid is 126 mi³.
Find the volume of the pyramid. Round to the nearest tenth.
Image shows a pyramid with a height of five inches, a width of five inches, and a length of two inches.
To find the volume of a pyramid, you multiply the base area by the height and divide by 3.
The base of the pyramid seems to be a rectangle. To find the base area of the pyramid, multiply the width and length of the base.
Base area = width * length
= 5 inches * 2 inches
= 10 inches²
Now, substitute the values of the base area and the height into the volume formula for a pyramid.
Volume = (base area * height) / 3
= (10 inches² * 5 inches) / 3
= 50 inches³ / 3
≈ 16.7 inches³
Rounded to the nearest tenth, the volume of the pyramid is approximately 16.7 inches³.
Find the slant height of the square pyramid.
Image shows a square pyramid with the width of 10 centimeters, of height of 12 centimeters, and the slant height labeled E.
To find the slant height of a square pyramid, you can use the Pythagorean theorem.
The base of the pyramid is a square, so the width is equal to the length. The height of the pyramid is perpendicular to the base.
Let's call the slant height E.
Using the Pythagorean theorem, we have:
E^2 = width^2 + height^2
E^2 = 10 cm^2 + 12 cm^2
E^2 = 100 cm^2 + 144 cm^2
E^2 = 244 cm^2
Taking the square root of both sides, we get:
E = √244 cm
E ≈ 15.6 cm
So, the slant height of the square pyramid is approximately 15.6 centimeters.
Find the volume of the prism below.
Image shows a prism with a width of six feet, a length of 2.5 feet, and a height of 3.5 feet.
To find the volume of a prism, you multiply the length, width, and height together.
So in this case, the volume would be:
Volume = length * width * height
= 2.5 ft * 6 ft * 3.5 ft
= 52.5 ft³
Rounded to the nearest tenth, the volume of the prism is 52.5 ft³.
Use the Pythagorean Theorem to find the diagonal length of the bottom of the box.
Image shows a prism with a height of 16 inches, a width of 24 inches and a length of 18 inches.