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22 a display case is made of one rectangular prism stacked on top of a …

84 cubic feet

Catégorie: physics Mis à jour: 2026-02-03

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?

Étapes de solution

  1. 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?

  2. 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.
    $V_{total} = V_1 + V_2 = 60 + 24$

  3. Final answer

    84 cubic feet

Réponse

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

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Question Analysis

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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