PERFORMANCE TASK
Suppose your family launched an online business which is selling personalized gift box to have additional income during pandemic.
A rectangular box has dimensions 12 in, 4 in and 4 in. Your costumer preferred that the first two dimensions is decreased, and the last dimension is increased by the same amount for the second box, and it's volume is five-eights of the volume of the first box. Determine the dimensions of the second box.
1. Dimensions of the first box.
2. Volume of the first box.
3. Volume of the second box.
4. First dimension of the second box. (Note: use variables to indicate decrease) 5. Second dimension of the second box. (Note: use variables to indicate increase) 6. Third dimension of the second box. (Note: use variables to indicate increase) 7. Working equation for the dimension of the second box.
8. Dimensions of the second box.
Suppose your family launched an online business which is selling personalized gift box to have additional income during pandemic.
A rectangular box has dimensions 12 in, 4 in and 4 in. Your costumer preferred that the first two dimensions is decreased, and the last dimension is increased by the same amount for the second box, and it's volume is five-eights of the volume of the first box. Determine the dimensions of the second box.
1. Dimensions of the first box.
2. Volume of the first box.
3. Volume of the second box.
4. First dimension of the second box. (Note: use variables to indicate decrease) 5. Second dimension of the second box. (Note: use variables to indicate increase) 6. Third dimension of the second box. (Note: use variables to indicate increase) 7. Working equation for the dimension of the second box.
8. Dimensions of the second box.
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Answers & Comments
1. 12•4•4 inches
2. 192 in³
3. 192•⅝ = 120 in³
4. a=12-x
5. b=4-x
6. c=4+x
7. V=a•b•c
120 = (12-x) (4-x) (4+x)
8. 10•2•6 inches