Quadrilateral 66294

Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)

Correct answer:

S =  418 cm²
V =  520 cm³

Step-by-step explanation:

$$\begin{gathered} S_1=40{\text{cm}}^2 \\ k=8\text{cm} \\ h=1.3\text{dm}\to \text{cm}=1.3\cdot 10\text{cm}=13\text{cm} \\ {S}_1=k\cdot l \\ l=S_1/k=40/8=5\text{cm} \\ S=2\cdot (k\cdot l+l\cdot h+h\cdot k)=2\cdot (8\cdot 5+5\cdot 13+13\cdot 8)=418{\text{cm}}^2 \end{gathered}$$

$V=S_1\cdot h=40\cdot 13=520{\text{cm}}^3$

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