# math

The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
The volume of the pyramid is _____ cubic inches.

1. 👍 0
2. 👎 0
3. 👁 283
1. v = k A h

24 = k 24 * 3
so
k = 1/3 (this is not news by the way:)

v = (1/3)(15)(7)
= 35 cubic inches

By the way:
The volume of any shape with pointy top and straight sides is (1/3)(base area)(height)
---->cone, pyramid, whatever

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

A regular hexagonal pyramid whose base perimeter is 60cm has an altitude of 30cm. The volume of the pyramid is??

2. ### Math

the great pyramid of cheops is a square based pyramid with a height of 147 meters and a base length of 230 meters. find the angle to the nearest degree that one of the edges of the pyramid makes with the base

3. ### algebra

Rectangular pyramid has a base area of x^2+3x-10/2x square centimeters and a height of x^2-3x/x^2-5x+6 centimeters. Wright a rational expression to describe the volume of the rectangular pyramid

4. ### math

The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a

1. ### physics 1

The base of a pyramid covers an area of 13.0 acres (1 acre = 43,560 ft2) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = (1/3)bh, where b is the area of the base and h is the height, find the

2. ### Mathematics

A pyramid 8cm high stands on a rectangular base 6cm by 4cm. Calculate volume of the pyramid.

3. ### Math

The base of a pyramid-shaped tank is a square with sides of length 12 feet, and the vertex of the pyramid is 10 feet above the base. The tank is filled to a depth of 4 feet, and water is flowing into the tank at the rate of 2

4. ### math

The volume V of a pyramid varies jointly as its height h and the area of its base B . Given that the volume of the pyramid is 60 cubic inches when the height is 5 inches and area of its base is 36 square inches, what is the area

VWXYZ is a rectangle-based pyramid where WX=66 cm and XY=32cm. The vertex is vertically above the center of the base. Given that the slant heights VA and VB are 56 cm and 63 cm respectively, find the total surface area of the

2. ### Maths

A right pyramid on a base 4cm square has a slant edge of 6cm.calculate the volume of the pyramid

3. ### Geometry

The Great Pyramid of Cheops is a right square pyramid with height of 148 m and a square base with a perimeter of 940 m. The Transamerica Building in San Francisco has the basic shape of a right square pyramid that has a square

4. ### geometry

Find the volume of a pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9. Round your answer to the nearest tenth of a cubic inch.