To find the surface area of the new solid, we need to calculate the surface areas of each individual shape and then sum them up.
Surface area of one rectangular prism:
The total surface area of a rectangular prism is given by the formula:
2lw + 2lh + 2wh
Plugging in the values, we get:
2(3)(11) + 2(3)(3) + 2(11)(3) = 66 + 18 + 66 = 150
Since we have two identical rectangular prisms, the total surface area contributed by the prisms is 2 * 150 = 300
Surface area of one cube:
The total surface area of a cube is given by the formula:
6s^2
Plugging in the value of s as 3, we get:
6(3^2) = 6(9) = 54
Since we have two identical cubes, the total surface area contributed by the cubes is 2 * 54 = 108
Therefore, the total surface area of the new solid formed by joining the two rectangular prisms and two cubes is 300 + 108 = 408 square centimeters.
Two identical rectangular prisms and two identical cubes are joined.
Find the new solid’s surface area.
A figure formed by 2 rectangular prisms and 2 cubes. The rectangular prisms have length 11 centimeters and square sides with length 3 centimeters. The prisms are connected on the side with length 11 centimeters. A cube is on the square face of one prism. The second cube is connected to another side of the first cube. The cubes have side lengths 3 centimeters.
9 answers
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I won't! No thanks!
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I hope you step on a lego!
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3 answers