The height of the rectangular parallelepiped is 3 cm, and the sides of the base are 2 and 4 cm, calculate the total surface

| July 2, 2021 | education

The height of the rectangular parallelepiped is 3 cm, and the sides of the base are 2 and 4 cm, calculate the total surface, volume and sectional area passing through the smaller side of the base and the opposite side of the upper base.

By condition, a parallelepiped is given: a = 2 cm, b = 4 cm, h = 3 cm.
The total surface area is the sum of the areas of all its six faces (six rectangles), we find it.
S = 2 * (a * b + a * h + b * h) = 2 * (8 + 6 + 12) = 2 * 26 = 52 (cm²).
We find the volume by the formula:
V = a * b * h = 2 * 4 * 3 = 24 (cm³).
The cross-sectional area passing through the smaller side of the base and the opposite side of the upper base is a rectangle with sides a = 2 cm and c = √ (b² + h²) = √ (16 + 9) = √25 = 5 cm. Find the cross-sectional area.
S sec. = a * c = 2 * 5 = 10 (cm²).
Answer: total surface 52 cm², volume cm³, cross-sectional area 10 cm².



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