An artist creates an abstract sculpture that appears as a box perched on top of a post the box is in the shape of a cube with edges measuring 5 inches each it is placed on top of a post in the shape of a rectangular prism with the length of 3 inches a width of 4 inches and a height of 18 inches what is the volume of the entire sculpture?

Answers

Answer 1

Answer:

The volume of the entire sculpture is 341 cubic inches.

What is volume?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry.

Given sculpture is made in the shape of a cube placed in top of a rectangular prism,

dimension of the cube = 5 inches on each side

volume of cube = a³

a = length

volume of cube = 5³ = 125 cubic inches

dimensions of a rectangular prism,

length = l = 3 inches

width = b = 4 inches

height = h = 18 inches

volume of rectangular prism = l x b x h

volume of rectangular prism = 3 x 4 x 18

the volume of rectangular prism = 216 cubic inches

the volume of sculpture = volume of rectangular prism + volume of cube

volume of sculpture = 216 + 125

volume of sculpture = 341 cubic inches

Hence the volume is 341 cubic inches.

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Answer 2

Answer: Volume of the box = length ^ 3 = 5^3 = 125 cubic inches
Volume of rectangular prism = length x width x height = 3 x 4 x 18 = 216 cubic inches
Volume of entire sculpture = volume of box + volume of rectangular prism = 125 + 216 = 341 cubic inches.

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i hope this be helpful
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