Answer:
- <u>First choice, 984 cm²</u>
Explanation:
The plastic pencil case has form of a triangular prism.
This triangular prism has five faces:
- Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.
- Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.
<u>Surface area:</u>
- <u>Top and bottom triangles</u>:
area = (1/2) base × height
area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²
area of the two triangles = 2 × 60 cm² = 120 cm²
- <u>Lateral rectangles:</u>
area of a rectangle = length × width
area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².
- <u>Total area: </u>120 cm² + 864 cm² = 984 cm²
Answer: first choice, 984 cm²
The answer is D.
In the expression, the fraction must be larger than 1/4, yet smaller than 7/8.
It can't be A because 1/5 is smaller than 1/4. See below.
1/5 = 4/20
1/4 = 5/20
It also can't be B because 8/9 is larger than 7/8. See below.
8/9 = 64/72
7/8 = 63/72
Lastly, the answer cannot be C because 2/10 is smaller than 1/4.
1/4 = 5/20
2/10 = 4/20
Answer D works because:
10/20 = 2/4 > 1/4
10/20 = 80/160 < 140/160
Step-by-step explanation:
if the car speeds at a constant rate of 32mi/m
the number of miles travelled in the next 25 min
= 32 mi/m ×25m
800 miles in the next 25 min
Answer:
Option D is correct
The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.
Step-by-step explanation:
Given the statement: The liquid volume of Eric's water bottle is 3 liters.
Using conversion:
1 liters = 1000 milliliters
Convert 3 liters into milliliters;
using above conversion:
3 liters = 
milliliters.
To find the volume of liquid in 5 of these bottles in milliliters:
Volume of liquid in 1 bottle is, 3000 milliliters.
then;
Volume of liquid in 5 bottles = 
milliliters.
Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters
