This figure is made up of two rectangular prisms. What is the volume of the figure?

A three-dimensional figure could be formed by placing a smaller rectangular prism on top of a larger rectangular prism such that the widths of the prisms are the same. The larger bottom prism has a length of 22 centimeters, a width of 13 centimeters, and a height of 5 centimeters. The smaller top prism has a length of 6 centimeters and a height of 2 centimeters.

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cm³

What is the approximate total length of iron edging needed to create the square frame and the two diagonals?

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Match each expression with its simplified form.