Find the total volume of the sand castle, including the towers. (Note: all measurements are inches)

Mathematics

1 answer:

mezya [45]3 years ago

6 0

The total volume of the sand castle, including the towers.

Step-by-step explanation:

Volume and Surface area of Sandcastle description and calculation

Composite volume calculation summary:

add three of each hexagonal shape, three rectangular prisms, subtract one “door” and one semicircular prism.

model: V = 3*124.71in³+3*13.86in³+3*144in³-16in³-12.57in³

V = 819.14in³

sand: V = 3*15.59ft³+3*1.73ft³+3*18ft³-2ft³-1.57ft³

V = 102.39ft³

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$\large\text{Hey there!}$

$\mathsf{1.5x - 6=7.5}\\\mathsf{\bf{\underline{ADD}}}\mathsf{\ by\ 6\ on\ both\ of\ your\ sides}\\\mathsf{1.5x-6+6=7.5+6}\\\mathsf{Cancel\ out: -6+6\ because\ it\ equals\ 0}\\\mathsf{Keep:7.5+6\ because\ it\ helps\ us\ solve\ for\ your\ answer}\\\mathsf{7.5 + 6=13.5}\\\mathsf{We\ get: 1.5x=13.5}\\\mathsf{\bf{\underline{Divide}}}\mathsf{\ both\ sides\ by\ 1.5\ on\ your\ sides}\\\mathsf{\dfrac{1.5x}{1.5}=\dfrac{13.5}{1.5}}\\\\\mathsf{Cancel\ out: \dfrac{1.5x}{1.5}\ because\ it\ equals\ 1}$

$\mathsf{Keep: \dfrac{13.5}{1.5}\ because\ it\ gives\ you\ x}\\\\\mathsf{\dfrac{13.5}{1.5}=13.5\div1.5\rightarrow9}\\\\\\\boxed{\boxed{\mathsf{\bf{Your\ ANSWER: \boxed{\mathsf{x=9}}}}}}\checkmark$