Box A has a length of 12 cm, width of 3 cm, and height of 5 cm. Box B is placed on top of Box A with length of 3 cm, width of 3 cm, and height of 3 cm. Box C is to the side of the other two boxes with length of 3 cm, width of 3 cm, and height of 3 cm.
Part A.
Tisha is putting boxes together to make an art project. She has already put two boxes together. What is the volume of the two boxes, A and B, that Tisha put together?
A.
189 cm3
B.
207 cm3
C.
288 cm3
D.
519 cm3
Part B.
Tisha still needs to add one more box to her project. What will be the volume of Tisha’s art project when she adds Box C?
A.
198 cm3
B.
207 cm3
C.
234 cm3
D.
528 cm3
Part A:
The volume of Box A is: length x width x height = 12 cm x 3 cm x 5 cm = 180 cm^3
The volume of Box B is: length x width x height = 3 cm x 3 cm x 3 cm = 27 cm^3
To find the volume of the two boxes put together, we just need to add their volumes:
Volume of A and B = Volume of A + Volume of B = 180 cm^3 + 27 cm^3 = 207 cm^3
Therefore, the answer is B. 207 cm^3
Part B:
Now we just need to add the volume of Box C to the volume of the two boxes we already added together.
The volume of Box C is: length x width x height = 3 cm x 3 cm x 3 cm = 27 cm^3
Volume of A, B, and C = Volume of A + Volume of B + Volume of C = 180 cm^3 + 27 cm^3 + 27 cm^3 = 234 cm^3
Therefore, the answer is C. 234 cm^3.
Part A:
To calculate the volume of Box A, we multiply its length, width, and height together:
Volume of Box A = 12 cm x 3 cm x 5 cm = 180 cm^3.
To calculate the volume of Box B, we multiply its length, width, and height together:
Volume of Box B = 3 cm x 3 cm x 3 cm = 27 cm^3.
To find the volume of the two boxes put together, we add the volumes of Box A and Box B:
Volume of two boxes (A + B) = 180 cm^3 + 27 cm^3 = 207 cm^3.
Therefore, the answer to Part A is B. 207 cm^3.
Part B:
To calculate the volume of Box C, we multiply its length, width, and height together:
Volume of Box C = 3 cm x 3 cm x 3 cm = 27 cm^3.
To find the volume of Tisha's art project when she adds Box C, we add the volume of the two boxes put together to the volume of Box C:
Volume of Tisha's art project (A + B + C) = 207 cm^3 + 27 cm^3 = 234 cm^3.
Therefore, the answer to Part B is C. 234 cm^3.
To solve Part A, we need to find the volume of Box A and Box B and then add them together.
The volume of a box is calculated by multiplying its length, width, and height.
For Box A, the length is 12 cm, the width is 3 cm, and the height is 5 cm. So, the volume of Box A is 12 cm * 3 cm * 5 cm = 180 cm^3.
For Box B, the length is 3 cm, the width is 3 cm, and the height is 3 cm. So, the volume of Box B is 3 cm * 3 cm * 3 cm = 27 cm^3.
To find the volume of the two boxes combined, we simply add the two volumes together: 180 cm^3 + 27 cm^3 = 207 cm^3.
Therefore, the answer to Part A is option B: 207 cm^3.
To solve Part B, we need to find the volume of Box C and then add it to the volume of the two boxes already put together.
Using the same formula, the volume of Box C is calculated as 3 cm * 3 cm * 3 cm = 27 cm^3.
To find the total volume of Tisha's art project, we add the volume of Box C to the volume of the two boxes already put together: 207 cm^3 + 27 cm^3 = 234 cm^3.
Therefore, the answer to Part B is option C: 234 cm^3.