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Randall built a scale model of a barn he wants to construct. What is the total volume of the model Round your answer to the nearest tenth.

3,254.0 cm^3
326.4 cm^3
3,100.8 cm^3
4,243.2 cm^3
1,305.6 cm^3

Randall built a scale model of a barn he wants to construct What is the total volume of the model Round your answer to the nearest tenth 32540 cm3 3264 cm3 3100 class=

Respuesta :

Answer:

2764.8cm³

Step-by-step explanation:

Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism

Step 1

Find the volume of the cuboid

Volume of the cuboid = Length × Width × Height

Length = 10cm

Width = 20.4cm

Height = 11.2cm

Volume = 10cm × 20.4cm × 11.2cm

Volume = 2284.8cm³

Step 2

Volume of Triangular prism = 1/2 × base × height × length

= 1/2 × 8 × 12 × 10

= 480cm³

Total volume = 2284.8cm³ + 480cm³

= 2764.8cm³

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