Respuesta :
Answer:
she forgot the exponent on 3.5^3
Step-by-step explanation:
10 x 3.5^3 = 428.7428.75 u^3
The term "dilation" refers to a transformation. The volume of the dilated cube is 428.75 in³.
What is dilation?
The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.
As it is given that the volume of the cube is 10 cubic inches, therefore, the side of the cube is,
[tex]\text{Volume of the cube} = a^3\\\\ 10 = a^3\\\\a =\sqrt[3]{10}[/tex]
Now, we know that dilation always applies to dimensions, therefore the new dimension of the dilated cube will be,
[tex]\text{Side of the dilated cube} = \sqrt[3]{10} \times 3.5\rm\ in[/tex]
Further, the volume of the dilated cube can be written as,
[tex]\rm \text{Volume of the Dilated cube} = Side^3\\\\[/tex]
[tex]= (\sqrt[3]{10} \times 3.5)^3\\\\ = (\sqrt[3]{10})^3 \times (3.5^3)\\\\= 10 \times 3.5^3\\\\= 10 \times 42.875\\\\= 428.75\rm\ in^3[/tex]
A.) The mistake that Kiran made is that she didn't take the cube of the scale factor.
B.) The volume of the dilated cube is 428.75 in³.
Learn more about Dilation:
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