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Heidi and Andrew designed two raised flowerbeds for their garden. Heidi's flowerbed was 5 feet long by 3 feet wide, and Andrew's was the same length but twice as wide. Calculate how many cubic feet of soil they need to buy to fill to a depth of 2 feet in both flowerbeds. Explain your thinking.

Respuesta :

opudodennis

Answer:

[tex]V=90\ ft^3[/tex]

Step-by-step explanation:

-Given the two heights are similar:

#Heidi's flowered bed dimensions and volume is calculated as:

[tex]v=lwh[/tex]

[tex]=5\times 3\times 2\\\\=30\ ft^3[/tex]

#The width of Andrew's is twice Heidi's. The width and volume is thus calculated as:

[tex]w_a=2\times 3=6 \ ft\\\\V_a=lwh\\\\=5\times 6 \times 2\\\\=60\ ft^3[/tex]

#Total soil volume of the soil used is determined by summing the two different flowerbed volumes:

[tex]V=V_h+V_a\\\\=30+60\\\\=90 \ ft^3[/tex]

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