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Find the surface area and volume of the solid given.

Find the surface area and volume of the solid given.-example-1
User Kalbasit
by
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1 Answer

1 vote

Answer:

• Surface Area= 121.2 cm²

,

• Volume = 51.46 cm³

Step-by-step explanation:

The solid is in the shape of a Right-triangular Prism.

The following are the dimensions of the shapes present.

0. Two right triangles with a base of 6.2cm and a height of 8.3cm.

,

1. A rectangle with dimension 6.2 cm by 2.8cm

,

2. A rectangle with dimension 8.3 cm by 2.8cm

,

3. A rectangle with dimension 10.4 cm by 2.8cm

Surface Area


\begin{gathered} \text{Surface Area}=2(\text{Area of Triangle)+Area of the 3 rectangles} \\ =2((1)/(2)*6.2*8.3)+(6.2*2.8)+(8.3*2.8)+(10.4*2.8) \\ =51.46+17.36+23.24+29.12 \\ =121.18\operatorname{cm}^2 \\ \approx121.2\operatorname{cm}^2 \end{gathered}

Volume

The cross-section of the solid is a right triangle.


\begin{gathered} \text{Volume}=\text{Area of cross-section }* Length \\ =(1)/(2)bh*\text{Length} \\ =((1)/(2)*6.2*8.3)*2 \\ =51.46\operatorname{cm}^3 \end{gathered}

User Jligeza
by
4.8k points