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A rectangular prism has a length of 6cm, a height of 8cm, and a width of 17cm. What is its volume, in cubic cm?

Question

A rectangular prism has a length of 6cm, a height of 8cm, and a width of 17cm. What is its volume, in cubic cm?

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Solution

Para encontrar el volumen de un prisma rectangular, se utiliza la fórmula:

Volumen=longitud×ancho×altura \text{Volumen} = \text{longitud} \times \text{ancho} \times \text{altura}

Dado que la longitud es de 6 cm, la altura es de 8 cm y el ancho es de 17 cm, sustituimos estos valores en la fórmula:

Volumen=6cm×17cm×8cm \text{Volumen} = 6 \, \text{cm} \times 17 \, \text{cm} \times 8 \, \text{cm}

Primero, multiplicamos la longitud por el ancho:

6cm×17cm=102cm2 6 \, \text{cm} \times 17 \, \text{cm} = 102 \, \text{cm}^2

Luego, multiplicamos el resultado por la altura:

102cm2×8cm=816cm3 102 \, \text{cm}^2 \times 8 \, \text{cm} = 816 \, \text{cm}^3

Por lo tanto, el volumen del prisma rectangular es de 816 cm³.

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