Answer:
Step-by-step explanation:
This shape appears to be a rectangular prism. To find its volume, we multiply the length, width, and height:
Length = 2m
Width = 2m
Height = 2m
The volume (and area in this case) of the rectangular prism is given by:
[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} ]
[ \text{Area} = 2m \times 2m \times 2m = 8 , \text{m}^3 ]
(b) Shape with dimensions: 2rm × 3cm × 6cm × 6cm × 2cm × 10cm × 4cm × 3cm
This shape seems more complex. Let’s break it down into simpler components:
Rectangle (2rm × 3cm):
Area = Length × Width
Area = 2rm × 3cm
Rectangular prism (6cm × 6cm × 2cm):
Volume = Length × Width × Height
Volume = 6cm × 6cm × 2cm
Rectangular prism (10cm × 4cm × 3cm):
Volume = Length × Width × Height
Volume = 10cm × 4cm × 3cm
Now let’s calculate each component:
Rectangle:
Area = 2rm × 3cm (Note: We’ll keep the units separate for now.)
First rectangular prism:
Volume = 6cm × 6cm × 2cm = 72cm³
Second rectangular prism:
Volume = 10cm × 4cm × 3cm = 120cm³
Finally, let’s add up the volumes of the two rectangular prisms:
[ \text{Total Volume} = 72cm³ + 120cm³ = 192cm³ ]
Now, let’s convert the total volume to meters:
[ \text{Total Volume (in m³)} = 192 \times 10^{-6} , \text{m}³ = 0.000192 , \text{m}³ ]
Therefore, the area of the given shape is approximately 0.000192 m³.
