22 a display case is made of one rectangular prism stacked on top of a …
84 cubic feet
Question
22 a display case is made of one rectangular prism stacked on top of a rectangular prism. (not drawn to scale) what is the volume, in cubic feet, of the display case?
Solution Steps
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Understand the question
22 a display case is made of one rectangular prism stacked on top of a rectangular prism. (not drawn to scale) what is the volume, in cubic feet, of the display case?
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Explanation
Step1: Calcular volumen del prisma inferior
El volumen de un prisma rectangular se calcula como $V = l \times w \times h$. Para el prisma inferior: $l=5$ ft, $w=4$ ft, $h=3$ ft.
$V_1 = 5 \times 4 \times 3 = 60$ ft³Step2: Calcular volumen del prisma superior
Para el prisma superior: $l=4$ ft, $w=3$ ft, $h=2$ ft.
$V_2 = 4 \times 3 \times 2 = 24$ ft³Step3: Sumar los dos volúmenes
El volumen total es la suma de los volúmenes de los dos prismas.
$V_{total} = V_1 + V_2 = 60 + 24$ -
Final answer
84 cubic feet
Answer
Explanation
Step1: Calcular volumen del prisma inferior
El volumen de un prisma rectangular se calcula como $V = l \times w \times h$. Para el prisma inferior: $l=5$ ft, $w=4$ ft, $h=3$ ft.
$V_1 = 5 \times 4 \times 3 = 60$ ft³
Step2: Calcular volumen del prisma superior
Para el prisma superior: $l=4$ ft, $w=3$ ft, $h=2$ ft.
$V_2 = 4 \times 3 \times 2 = 24$ ft³
Step3: Sumar los dos volúmenes
El volumen total es la suma de los volúmenes de los dos prismas.
$V_{total} = V_1 + V_2 = 60 + 24$
Answer
84 cubic feet
Question Image
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Subject
natural science
Sub Subject
engineering
Education Level
high school
Difficulty
unspecified
Question Type
with image, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-03T18:26:49
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22 a display case is made of one rectangular prism stacked on top of a rectangular prism. (not drawn to scale) what is the volume, in cubic feet, of the display case?
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