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Complete 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?
Answer:
2(1/3(5)(0.25)(2))
Explanation:
The volume of a rectangular pyramid is given as
1/3 × (Area of the base rectangle ) × Height
Area of the base rectangle = Length × Width
We are told in the question that:
The lengths of the sides of the rectangle are 5 and 0.25 units.
Area of the base rectangle = 5 units × 0.25 units
The height of the pyramid = 2 units
Therefore, the volume of the rectangular pyramid = 1/3× (5×0.25) × 2
We are also told in the question that this composite figure is made of two identical pyramids attached at their bases.
Therefore, expression that represents the volume, in cubic units, of the composite figure is given as:
2(1/3× (5×0.25) × 2) = 2(1/3(5)(0.25)(2))