Answer:
The volume of the given prism is [tex]11\frac{7}{8}[/tex] cubic cm.
Step-by-step explanation:
Here, the dimensions of the given Prism is
Base = [tex]2\frac{3}{8}[/tex] cm
Height = [tex]1\frac{1}{3}[/tex] cm
Length = [tex]3\frac{3}{4}[/tex] cm
Now. solving the given mixed fractions, we get
[tex]2\frac{3}{8} = 2 + \frac{3}{8} = 2 + 0.375 = 2.375[/tex]
[tex]1\frac{1}{3}= 1 + \frac{1}{3} = 1 + 0.333 = 1.33[/tex]
[tex]3\frac{3}{4} = 3 + \frac{3}{4} = 3 + 0.75 = 3.75[/tex]
Now, the given dimensions of the prism are :
B = 2.375 cm, H = 1.33 cm and L = 3. 75 cm
The VOLUME OF THE PRISM = LENGTH x BASE x HEIGHT
= 2.375 cm x 1.33 cm x 3. 75 cm
= 11. 8453 cubic cm
Now, [tex]11. 8453 = 11 + 0.845 = 11 + \frac{845}{1000} = 11 + \frac{7}{8} = 11\frac{7}{8}[/tex]
Hence, the volume of the given prism is [tex]11\frac{7}{8}[/tex] cubic cm.
