Question

the figure below is made of 2 rectangular prisms.
what is the volume of this figure?
choose 1 answer:
a 176 cubic m
b 190 cubic m
c 206 cubic m

Explanation:

Step1: Volume of first prism

The first rectangular prism has dimensions \(4\,\text{m} \times 5\,\text{m} \times 5\,\text{m}\). Volume formula for rectangular prism is \(V = l \times w \times h\). So, \(V_1 = 4 \times 5 \times 5 = 100\,\text{cubic m}\).

Step2: Volume of second prism

The second rectangular prism has dimensions \(9\,\text{m} \times 2\,\text{m} \times 5\,\text{m}\). Using the same volume formula, \(V_2 = 9 \times 2 \times 5 = 90\,\text{cubic m}\).

Step3: Total volume

Add the volumes of the two prisms: \(V = V_1 + V_2 = 100 + 90 = 190\,\text{cubic m}\).

Answer:

B. 190 cubic m