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2 answers:
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Your answer is L = 11 cm.
If the volumes of both shapes are the same, then we can set them equal to each other and solve for L to find the answer.
The volume of a rectangular prism is base × height × depth, which comes to 5 × 6 × L = 30L
The volume of the trapezoid prism (the shape on the left) would be the area of the trapezoid on the front, multiplied by the depth. This gives you:
× 6 × 10 = 5.5 × 6 × 10 = 330
So now we get:
330 = 30L
÷ 30
L = 11
I hope this helps!