Answer:
67 1/2 cm³
Step-by-step explanation:
To find the prism's volume, we multiply its height, length, and width together.
Given:
Height = 4 1/2 cm
Length = 6 cm
Width = 2 1/2 cm
First, let's convert all the measurements to improper fractions:
Height = 4 1/2 cm = (4 × 2 + 1) / 2 = 9/2 cm
Width = 2 1/2 cm = (2 × 2 + 1) / 2 = 5/2 cm
Now, we can calculate the volume:
Volume = Height × Length × Width
Volume = (9/2 cm) × (6 cm) × (5/2 cm)
Now, let's multiply:
Volume = (9/2 cm) × (6 cm) × (5/2 cm)
= (9 × 6 × 5) / (2 × 2)
= (270 / 4) cm³
= 67 1/2 cm³
