3 years ago

An artist makes a cube-shaped sculpture.

1 answer:

5 0

All the sides of a cube are always the same.
Area = 12 in x 12 in = 144 in^2
Volume = 12 in x 12 in x 12 in = 1728 in^3

Hence, you can confirm all the side of this cube is 12 in.

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A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-fo

Archy [21]

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

$\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75$

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree = 48 foot

$\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48$

Proportion can be used to find the height = 0.75

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