4. Find the volume and total area of a rectangular prism which is 20 inches high, and the dimensions of the base are 8 inches by 9 inches respectively.

Q: If the volume of the square pyramid below is 384 and the sides (x) of the square base are each 14,…

A:

Q: What is the amount of material in a hollow cylinder of height 20 cm, given that the sum of the…

A: Let we denote the external radii by R and internal radii by r then radii of the cylinder is R-r .…

Q: 2. A cone has a volume 7,065 in.3 and a height of 30 inches. What is the radius of the cone?

A: Given: Volume of the cone = 7065 in3  Height of the cone = 30 inches. To Find: Radius of the cone.

Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given:  A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: What is the volume of the pyramid sketched below if the height, h, is 10 centimeters and the area of…

A: The volume of the Pyramid: volume = 13xarea of the base x height of the pyramid      V  = 13Bh

Q: 1. Calculate the volume of a cylinder whose area of the base is 30 cm and the height is 6 cm. 2.…

A:

Q: 14.) The area of a regular decagon is 50 cm2. What is the area of a larger regular decagon with…

A: Given area of smaller regular decagon, A = 50 cm2 Let the side of smaller regular decagon be 'a' We…

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cm long,…

A:

Q: 1. What is the area in sq. cm of an octagon with a side 20 in long?

A:

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

A: Consider the following figure. The area of the above octagon is 8 times the area of the triangle…

Q: 32.) What is the volume of a 6 foot high square pyramid with base edges of 8 feet?

A: Base = 8 feet height = 6 feet Volume of square pyramid = Area of base * height…

Q: What is the volume of a square-based pyramid with a base side of 4 cm and a height of 10 cm?

A:

Q: A is to have an ared of 180 cm? poster with 1 cm margins at the botton i and sides, and a 2 cm…

A:

Q: 3. What is the surface area of a rectangular prism with a height of 12 feet, a width of 8 feet, and…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: 7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of…

A: Note: We are entitled to solve only one question at a time. Given: The base of a prism is a right…

Q: 3. Gabby is designing a rectangular swimming for a client. The length and width of the pool are 10…

A:

Q: 36.) What is the volume of an oblique square pyramid with base edges of 25 inches and a height of 24…

A:

Q: 6. Find the volume a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

A:

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

A:

Q: 11.) What is the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm?

A: The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to…

Q: 35. What is the area of a regular decagon with a side length of 28 cm?

A:

Q: 2) Find the radius of a cylinder with a volume of 339.1 in' and a height of 12 in.

A: Volume of cylinder is πr2h. Use this formula to find the value of radius of cylinder.

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

A:

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

A:

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A:

Q: A rectangular pyramid has a base of 24 cm by 14 cm and height of 15 cm. What  is its volume?

A:

Q: If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A:

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

Q: A train car is in shape of a right rectangular prism and has a volume of540 ft as shown

A: Suppose, the height of the train car is, h feet  It has length 12 feet and breadth 4.5 feet

Q: 12. Find the volume of a right circular cylinder that can be circumscribed about a cube whose…

A:

Q: 4. Find the length of one side of the base of a square pyramid if the height is 12m and the volume…

A:

Q: 19.) What is the surface area of a rectangular prism with length of 20.1 m, a width of 6.8 m, and a…

A: Length, l = 20.1 m breadth, b = 6.8 m height, h = 7.4 m Surface area of rectangular prism, A = 2(l*b…

Q: 23.) What is the surface area, in square centimeters, of a rectangular prism 9 cm by 8 cm by 10 cm?

A:

Q: If two prisms have equal volumes, must they also have equal total areas?

A: Given that  two prisms have equal volume. We need to check whether they have equal total area.

Q: 2. A rectangular field has a length of 120 m and a width of 300 ft. What is the area of the field in…

A:

Q: 9. Find the dimensions of the rectangular box with largest value if the total surface area is given…

A: To find The dimensions of the rectangular box

Q: 1. What is the volume of a triangular pyramid with a length of 15 ft, a width of 7 ft, and a height…

A: We can find the volume using the formula as below

Q: What is the volume of an oblique pentagonal prism whose base area is 120 cm? and whose height is 15…

A:

Q: If the volume of the square pyramid below is 990 and the sides (x) of the square base are each 16,…

A:

Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: Suppose an oil pan has the rectangular dimensions 14 in. by 16 in. by 3 in. Find its volume (in…

A: From the given information, it is observed that the dimension of oil pan is 14 in. × 16 in. × 3 in.…

Q: 2. The volume of a right square pyramid with height 36 inches is 10,800 in3. What is its surface…

A:

Q: 19) Find the volume of a rectangular pyramid which has length equal to half its width, a base area…

A: To find the volume of a rectangular pyramid which has length equal to half its width, a base area of…

Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…

A:

Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

A:

Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

A: