Answer:
5. ○ D. 600 in.³
6. ○ C. 3900 in.³
Step-by-step explanation:
5.
Use the following formula to calculate the volume:
[tex]\boxed{\mathrm{Volume = length \times width \times height}}[/tex],
where:
• length = 24 in.
• width = [tex]12\frac{1}{2}[/tex] in.
• height = 2 in.
Substituting these values into the formula:
Volume = [tex]24 \times 12\frac{1}{2} \times 2[/tex]
= 600 in³
∴ D. is the correct option.
6.
Here, we can see that the height of the water that Yolanda will put in the tank is 5 inches less than 18 in. because the sand takes up 2 in. and the gap at the top takes up 3 in.
• height of water = 18 - 3 - 2
= 18 - 5
= 13 in.
• length = 24 in.
• width = [tex]12\frac{1}{2}[/tex] in.
∴ Volume = [tex]24 \times 12\frac{1}{2} \times 13[/tex]
= 3900 in³
∴ The correct option is C.
