Question

calculate the volume

you must print a control panel cover. the cad file will prompt the printer to create a prototype of the cover with the following dimensions:

• length: 25 cm
• width: 20 cm
• thickness: 6.5 cm

what volume of material is needed to print this cover?

○ 2,305 cm³
○ 3,000 cm³
○ 3,150 cm³
○ 3,250 cm³

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = \text{length} \times \text{width} \times \text{height (thickness)} \).

Step2: Substitute the given values

Given length \( l = 25 \, \text{cm} \), width \( w = 20 \, \text{cm} \), and thickness \( t = 6.5 \, \text{cm} \). Substitute these into the formula:
\( V = 25 \times 20 \times 6.5 \)

Step3: Perform the multiplication

First, calculate \( 25 \times 20 = 500 \). Then, multiply the result by \( 6.5 \):
\( 500 \times 6.5 = 3250 \)? Wait, no, wait. Wait, 2520 is 500, 5006.5: 5006 = 3000, 5000.5 = 250, so 3000 + 250 = 3250? Wait, but let me check again. Wait, 25206.5. Wait, 2520 is 500, 5006.5. Let's do 5006.5: 6.5500 = 3250? Wait, but the options include 3250? Wait, no, the first option is 2305? Wait, maybe I made a mistake. Wait, no, length 25, width 20, thickness 6.5. So 2520=500, 5006.5. Let's compute 25206.5. 256.5=162.5, then 162.520=3250. Wait, but the options are 2305, 3000, 3150, 3250. So 3250 is an option. Wait, but maybe I misread the thickness. Wait, the thickness is 6.5? Wait, 25206.5: 2520=500, 5006.5=3250. So the volume is 3250 \( \text{cm}^3 \). Wait, but let me check again. Wait, 2520=500, 5006.5: 6.5500. 5006=3000, 500*0.5=250, so 3000+250=3250. Yes.

Answer:

\( 3250 \, \text{cm}^3 \) (corresponding to the option with \( 3,250 \, \text{cm}^3 \))