Question

Can someone please explain this to me or help me understand it?? It’s in module3

Answer 1

1st question answer in screeshoot

2nd answer

a. height of rectangular container = 6.6 cm

b. 4.25 L of more water is required to fill the container.

c. 37.03% percentage of the tank is filled when it contains 2.5 L of water

Explanation:

1st QUESTION

i) Volume of small tank = l x b x h

= 24 ×18×15

Volume of small tank = 6480 cm³

Capacity of 1L small tank = 1000 cm³

Capacity of 6480 cm³ small tank = 6480 ÷ 1000 = 6.48 L

Total Surface Area of small tank = 2 (lb+bh+hl)

= 2 ([24×18] + [18×15] + [15×24])

= 2 (432+270+360)

= 2 (1062)

Total Surface Area of small tank = 2124 cm³

Curved Surface Area of small tank = 2(l+b) ×h

= 2 (24+18) ×15

= 2×42×15

Curved Surface Area of small tank = 1260 cm³

ii) Volume of medium tank = l x b x h

= 30 ×21×20

Volume of medium tank = 12600 cm³

Capacity of 1L medium tank = 1000 cm³

Capacity of 12600 cm³ medium tank = 12600 ÷ 1000 = 12.6 L

Total Surface Area of medium tank = 2 (lb+bh+hl)

= 2 ([30×21] + [21×20] + [20×30])

= 2 (630+420+600)

= 2 (1650)

Total Surface Area of medium tank = 3300 cm³

Curved Surface Area of medium tank = 2(l+b) ×h

= 2 (30+21) ×20

= 2×51×20

Curved Surface Area of medium tank = 2040 cm³

iii) Volume of large tank = l x b x h

= 36 ×24×25

Volume of large tank = 21600 cm³

Capacity of 1L large tank = 1000 cm³

Capacity of 21600 cm³ large tank = 12600 ÷ 1000 = 21.6 L

Total Surface Area of large tank = 2 (lb+bh+hl)

= 2 ([36×24] + [24×25] + [25×36])

= 2 (864+600+900)

= 2 (2364)

Total Surface Area of large tank = 4728 cm³

Curved Surface Area of large tank = 2(l+b) ×h

= 2 (36+24) ×25

= 2×60×25

Curved Surface Area of large tank = 3000 cm³

iv) Volume of extra large tank = l x b x h

= 40 ×27×30

Volume of extra large tank = 32400 cm³

Capacity of 1L extra large tank = 1000 cm³

Capacity of 32400 cm³ extra large tank = 32400 ÷ 1000 = 32.4 L

Total Surface Area of extra large tank = 2 (lb+bh+hl)

= 2 ([40×27] + [27×30] + [30×40])

= 2 (1080+810+1200)

= 2 (3090)

Total Surface Area of extra large tank = 6180 cm³

Curved Surface Area of extra large tank = 2(l+b) ×h

= 2 (40+27) ×30

= 2×67×30

Curved Surface Area of extra large tank = 4020 cm³

2. QUESTION

a. Volume of rectangular container = l x b x h

height of rectangular container =
`(Volume 0f rectangular container)/( l X b )`--------(i)

as we know 1L = 1000 cm³

Volume of 2.5 L rectangular container = 2500 cm³

length of container (l)= 15 cm

width/breadth of container(b)=25cm

putting values in equation (i)

height of rectangular container =
`(2500)/(15X25)`

height of rectangular container =
`(2500)/(375)`

height of rectangular container = 6.6 cm

b. Volume of new rectangular container = l x b x h-----------(ii)

length of container (l)= 15 cm

width/breadth of container(b)=25cm

height of container (h) = 18 cm

now putting values in equation (ii)

Volume of rectangular container = 15×25×18

Volume of new rectangular container = 6750 cm³

Volume of old rectangular container = 2500 cm³

difference = Volume of new rectangular container- Volume of old rectangular container

difference = 6750 - 2500

difference = 4250 cm³

as we know 1L = 1000 cm³

difference = 4.25 L

c. Percentage filled = (Volume of water / Total capacity of tank) × 100--(iii)

we know 1 L = 1000 cm³

Volume of water = 2.5 liters = 2500 cm³

Total capacity of tank = 6.75 liters = 6750 cm³

Now putting values in equation (iii)

Percentage filled = (2500 cm³ / 6750 cm³) × 100

Percentage filled = 37.03%

Answer 2

Explanation:

Basically what you are doing is using the numbers from the first table to fill in the second table. To solve for the volume multiply the length, width, and height together of each size of the tank and fill in the volume box on the table. To solve for the capacity you're going to simply convert the volume which will be in cm^3 into Liters. If you can use a calculator for that thats great! If not just take what you have for the volume and divide it by 1000. To solve for the surface area you need three parts to add together. Width times the height, length times the height, and width times the length. Take those three components and then at them all together, and once you have that multiply that all by two.

Hope this helps!