Question

The decoration needs to be packaged. The slant height is 17 inchesand the base is a square with a width of 6 inches. What is thesmallest size box that this item will fit in to ship?

Answer 1

Given:

Slant height, l = 17 inches

base width, w = 6 inches

Required: Size of the smallest box this item will fit

Solution:

`\begin{gathered} V=(1)/(3)b\cdot h \\ \\ \text{base, b = w}^2 \\ \text{height, h = }\sqrt[]{l^2-((w)/(2)})^2 \\ \\ V=(1)/(3)w^2\cdot\text{ }\sqrt[]{l^2-((w)/(2)})^2 \\ V=(1)/(3)(6)^2\cdot\text{ }\sqrt[]{(17)^2-((6)/(2)})^2 \\ V=200.8 \end{gathered}`