The figure shown is composed of two identical rectangular prisms and two identical cubes. Find the surface area.
625 mm²
600 mm²
500 mm²
420 mm²
The figure shown is composed of two identical rectangular prisms and two identical cubes. Find the surface area.
Share
To find the total surface area of the figure composed of two identical rectangular prisms and two identical cubes, you need to calculate the surface area of each shape and then combine them.
1. Surface Area of a Cube: The formula for the surface area of a cube is (6s^2), where (s) is the length of a side. For two cubes, the total surface area will be (2 times 6s^2 = 12s^2).
2. Surface Area of a Rectangular Prism: The surface area formula is (2(lw + lh + wh)), where (l), (w), and (h) are the length, width, and height, respectively. For two prisms, it will be (2 times 2(lw + lh + wh) = 4(lw + lh + wh)).
3. Combining Areas: Once you compute the surface areas for the cubes and prisms separately, you just add them together.
Please plug in the dimensions for (s), (l), (w), and (h) to calculate and find which answer fits: 625 mm², 600 mm², 500 mm², or 420 mm².
If you need more details or specific dimensions, don’t hesitate to ask!