Question

This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.

2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units.

Which expression represents the volume, in cubic units, of the composite figure?

One-half (One-third (5) (0.25) (2) )
One-half (One-third (5) (0.25) (4) )
2(One-third (5) (0.25) (2) )
2(One-third (5) (0.25) (4) )

Answer 1

The volume of each pyramid is calculated using the formula V = (1/3)Ah. The composite figure's total volume is the volume of one pyramid multiplied by two, as there are two identical pyramids.

Step-by-step explanation:

The volume of a pyramid is computed using the formula V = (1/3)Ah, where A is the area of the base and h is the height of the pyramid. For a pyramid with a rectangular base, the area of the base (A) is calculated as the length times the width of the rectangle. In this case, the composite figure consists of two identical pyramids with a base measuring 5 units by 0.25 units and a height of 2 units each.

Therefore, the volume of each pyramid is calculated as V = (1/3)(5)(0.25)(2). Since there are two pyramids, we need to multiply by 2 to find the total volume of the composite figure, which is:

Volume of composite figure = 2((1/3)(5)(0.25)(2))

Answer 2

C. 2(One-third (5) (0.25) (2) )

Step-by-step explanation: