△ Calculate the total outside surface area of the solid.
○ Calculate area of front and back faces
▷ Determine the area of the parallelogram-shaped front and back faces.
☼ The area of each face is \( 24 \, \text{cm} \times 14 \, \text{cm} = 336 \, \text{cm}^2 \). Since there are two such faces, the total area is \( 2 \times 336 \, \text{cm}^2 = 672 \, \text{cm}^2 \).
○ Calculate area of left and right faces
▷ Determine the area of the parallelogram-shaped left and right faces.
☼ The area of each face is \( 24 \, \text{cm} \times 26 \, \text{cm} = 624 \, \text{cm}^2 \). Since there are two such faces, the total area is \( 2 \times 624 \, \text{cm}^2 = 1248 \, \text{cm}^2 \).
○ Calculate area of top and bottom faces
▷ Determine the area of the parallelogram-shaped top and bottom faces.
☼ The area of each face is \( 25 \, \text{cm} \times 14 \, \text{cm} = 350 \, \text{cm}^2 \). Since there are two such faces, the total area is \( 2 \times 350 \, \text{cm}^2 = 700 \, \text{cm}^2 \).
○ Calculate total surface area
▷ Sum the areas of all faces to find the total surface area.
☼ The total surface area is \( 672 \, \text{cm}^2 + 1248 \, \text{cm}^2 + 700 \, \text{cm}^2 = 2620 \, \text{cm}^2 \).
✧ The total outside surface area is \( 2620 \, \text{cm}^2 \).
△ Calculate the volume of the solid.
○ Calculate the volume
▷ Use the formula for the volume of a parallelepiped.
☼ The volume is calculated as \( 24 \, \text{cm} \times 25 \, \text{cm} \times 14 \, \text{cm} = 8400 \, \text{cm}^3 \).
✧ The volume of the solid is \( 8400 \, \text{cm}^3 \).
☺
Total outside surface area: 2620 cm²
Volume: 8400 cm³
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