Answer :
Answer:
Correct expressions: (8 × 6 × 9) + (12 × 6 × 9) and 20 × 6 × 9
Total volume: 1,080 cm³
Step-by-step explanation:
V=length×width×height
1. (8×6×9)+(12×6×9)
This correctly calculates the volume of two separate rectangular prisms (one with dimensions 8×6×9 and the other 12×6×9.
✅ Correct!
2. (8+6)×(12+9)
This incorrectly adds the dimensions rather than calculating volume.
❌ Incorrect.
3. 14×(12+9)
This does not correctly represent the volume calculation of two prisms.
❌ Incorrect.
4. (9×12)+(6×8)
This does not follow the correct volume formula for rectangular prisms.
❌ Incorrect.
5. 20×6×9
This assumes a single prism with a combined length of 20 cm, which correctly represents the total volume.
✅ Correct!
Using either correct expression:
(8×6×9)+(12×6×9)
=432+648
=1080 cm^3
OR
20×6×9
=1080 cm^3
Final Answer:
Correct expressions: (8 × 6 × 9) + (12 × 6 × 9) and 20 × 6 × 9
Total volume: 1,080 cm³
Answer:
1080 cm³
Step-by-step explanation:
We're dealing with a combined rectangular prism made up of two smaller rectangular prisms. To find the total volume, we add the volumes of these two smaller prisms.
Here's the expression that works:
(
8
cm
×
6
cm
×
9
cm
)
+
(
12
cm
×
6
cm
×
9
cm
)
That’s because we calculate the volume of each smaller prism and then add them together. Now, let’s compute the total volume:
=
(
8
×
6
×
9
)
+
(
12
×
6
×
9
)
=
(
432
cm
3
)
+
(
648
cm
3
)
=
1080
cm
3
So, the total volume of the combined figure is 1080 cm³.
