67. Written.

Table of Land Measure

1 square meter = 1 centar (ca) 100 square meters = 1 ar (a)

100 ars

= 1 hektar (Ha)

1. How many square meters are there in 145 ars? In 1 hektar? In .625 hektar? In 4.75 hektars? In .2755 hektar? 2. How many hektars are there in 20,000 sq. m? In 14,500 sq. m? In 40,756 sq. m? In 435,678 sq. m?

3. How many hektars are there in a rectangular piece of land 320 m by 162.5 m? 608.75 m by 560 m? 424.4 m by 137.5 m?

4. Find the cost of a piece of land 96 m long and 621 m wide at P125.50 per hektar.

5. I bought 1.125 Ha of land at P840 per Ha and sold it at P.22 per sq. m. How much did I gain?

6. If 27.5 Ha of land cost P3410, what will 16.75 Ha cost? 7. I paid P1218 for 7.25 Ha of land. At the same rate, how many Ha could I buy for P3780? Analyze.

8. I divided a piece of land containing 12 Ha into 50 equal lots. How many sq. m were there in each lot?

9. Mr. Hugo bought a piece of land 240 m long and 250 m wide for P375 a hektar. He divided it into building lots 20 m by 50 m which he sold at P72 each. How much did he gain?

10. I bought a square piece of land 220 m by 220 m for P363. At the same rate, what will 16.5 Ha cost? Analyze.

11. There are about 2.471 acres in 1 hektar. How many acres are there in 25 Ha? How many hektars are there in 91.427 acres?

12. A rectangular piece of land containing 5 Ha is 125 m wide. How long is it?

68. Written.

1. Mr. Torres has a rectangular farm 320 m long and 80 m wide. How many hektars of land has he?

2. The farm is divided into fields as shown in the diagram. How many hektars are planted in maize (M)? In hemp (H)? In tobacco (T)? In rice (R)? In zacate (Z)? In the garden (G)?

3. Find the area of the farm by adding the six areas, and compare with the area as found in No. 1.

In C? In the

4. A farmer has two pieces of land shaped like the above diagrams. How many sq. m in A? In B? whole piece? Express these areas in hektars.

5. What is the area of D? Of E? Of F? Of the second piece?

Continue the drill in finding the areas of irregular-shaped fields by drawing on the blackboard diagrams composed of rectangles and triangles, giving the dimensions, Have the pupils measure and find the areas of several lots near the schoolhouse.

METRIC MEASURES OF VOLUME

69. Oral.

1. A is 10 mm long, 10 mm wide and 1
How many cubic millimeters does it

mm thick. contain ?

2. How many cubic millimeters does the cubic centimeter B contain?

To find the volume of a solid, multiply together the numbers expressing its length, breadth, and thickness. The dimensions must be expressed in the same unit of measure.

Table of Volume

cu.cm

A

B

1000 CU. MM

1000 cubic millimeters (cu. mm) = 1 cubic centimeter (cu. cm)

1000 cubic centimeters

1000 cubic decimeters

= 1 cubic decimeter (cu. dm)

= 1 cubic meter (cu. m)

Notice that in cubic measure the multiplier in the table is 1000.

Give the volumes of the solids whose dimensions are:

9. How many cubic millimeters are there in 4 cubic centi meters? In 16 cu. cm? In 6 cu. cm? In 4.225 cu. cm?

10. How many cubic centimeters are there in 5 cubic decimeters? In 7 cu. dm? In 12.675 cu. dm? In 37.75 cu. dm? 11. Change 51 cu. m to cu. dm; 6.585 cu. dm to cu. cm.

12. Change 5.258 cu. cm to cu. mm; 8763 cu. mm to cu. cm. 13. Change 9075 cu. cm to cu. dm; 765 cu. dm to cu. m. 14. How many cubic meters are there in 4,500,000 cu. cm?

70. Written.

1. How many cubic centimeters are there in a solid 16 cm long, 8.5 cm wide, and 12.5 cm high? How many cubic decimeters?

2. A block 64 cm long, 37.5 cm wide, and 26.25 cm high contains how many cubic centimeters? How many cubic decimeters?

3. How many cubic meters of dirt were removed from a canal 475 m long, 2.4 m wide, and 1.5 m deep?

4. Find the cost of digging a ditch 300 m long, 1.24 m wide, and 1.8 m deep at P.65 a cubic meter.

5. Find the value of a block of marble 2.4 m long, 1.32 m wide, and 1.25 m thick at P37.50 per cubic meter.

6. Find the volume of a piece of timber 75 cm square and 4.4 meters long.

7. How many cubic meters are there in long, 1.5 m wide, and 2.5 m high?

pile of wood 6.4 m

8. What will it cost to fill in with sand a lot 35 m long and 16.4 m wide, to a depth of 40 cm, at P1.60 per cubic meter?

9. How many cubic meters of air are there in a schoolroom 12.5 m long, 6.4 m wide, and 4.62 m high?

10. A. cistern 2.4 m long, 1.5 m wide, and 3.2 m deep is half full of water. How many cubic meters of water are there in the cistern?

11. If it costs P164 to dig a cellar 8.2 m long, 6.4 m wide, and 2.5 m deep, how much will it cost to dig a cellar 10.5 m long, 8.4 m wide, and 2.8 m deep, at the same rate?

12. Find the value of 5 sticks of timber each 5.4 m long and 40 cm square on the end, at P 25 per cubic meter.

13. Find the value of the lime which fills a bin 3.6 m long, 2.5 m wide, and 1.4 m deep, at P 10.50 per cubic meter.

71. Written.

METRIC MEASURES OF CAPACITY

The principal unit of capacity for both liquid and dry measures is the liter. It contains 1 cubic decimeter.

A liter can or box and, if possible, a hektoliter box should be before the class. Pupils should be required to estimate the capacity of a number of vessels and test the correctness of their estimate by measuring.

1. How many liters are there in a cu. m? In 6.25 cu. m?

2. How many liters are there in 6.25 H1 ? In 6.75 H1? In 125.5 HI? In 2546.37 HI?

In 47.6 H1?

475 liters?

3. How many hektoliters are there in 6420 1? In 82.5 1? In 8.4 1? In 4267 1? In 2003.54 1?

In

4. How many liters are contained in a tank 1.6 m long, 1.5 m wide, and 1.2 m deep? How How many hektoliters?

5. How many hektoliters of water will it take to fill a tank 2.5 m long, 1.28 m wide, and 75 cm deep?

6. What is the value of the rice that fills a bin 80 cm by 80 cm by 80 cm at P.21 a ganta ?

7. A box is 75 cm long and 40 cm wide. it be in order to hold 183 liters?

How deep must

8. How many half-liter bottles can be filled from a can 35 cm square and 60 cm deep?